Haar wavelet method for solving lumped and distributed-parameter systems
From MaRDI portal
Publication:4340373
DOI10.1049/ip-cta:19970702zbMath0880.93014OpenAlexW1980564965MaRDI QIDQ4340373
No author found.
Publication date: 2 February 1998
Published in: IEE Proceedings - Control Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/72d1cca1a3a310462f5b9e30395fdc33c43cb99a
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items
Wavelet based algorithm for numerical study of \((1+2)\)-dimensional time fractional diffusion problems, An advancement approach of Haar wavelet method and Bratu-type equations, Green-Haar wavelets method for generalized fractional differential equations, A comparative study for fractional chemical kinetics and carbon dioxide CO\(_2\) absorbed into phenyl glycidyl ether problems, An efficient operational matrix approach for the solutions of Burgers' and fractional Burgers' equations using wavelets, Solving fractional integral equations by the Haar wavelet method, Solving infinite-horizon optimal control problems of the time-delayed systems by Haar wavelet collocation method, Solving the time-fractional diffusion equation via sinc-Haar collocation method, Numerical solution of stiff systems from nonlinear dynamics using single-term Haar wavelet series, Haar wavelet solutions of nonlinear oscillator equations, Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation, Haar wavelet approximate solutions for the generalized Lane-Emden equations arising in astrophysics, Solution of differential equations by using Legendre wavelet operational matrix of integration, Wavelet operational matrix method for solving fractional differential equations with variable coefficients, Rationalized Haar functions method for solving Fredholm and Volterra integral equations, Application of Haar wavelet discretization and differential quadrature methods for free vibration of functionally graded micro-beam with porosity using modified couple stress theory, Wavelet-based techniques for hygro-magneto-thermo vibration of nonlocal strain gradient nanobeam resting on Winkler-Pasternak elastic foundation, Wavelets collocation methods for the numerical solution of elliptic BV problems, Haar wavelet Picard method for fractional nonlinear partial differential equations, Haar wavelet approximation for magnetohydrodynamic flow equations, Solving partial fractional differential equations by using the Laguerre wavelet-Adomian method, Numerical solutions of higher order boundary value problems via wavelet approach, A Haar wavelets method of solving differential equations characterizing the dynamics of a current collection system for an electric locomotive, Numerical solution of evolution equations by the Haar wavelet method, Numerical solutions to initial and boundary value problems for linear fractional partial differential equations, Haar wavelet methods for numerical solutions of Harry Dym (HD), BBM Burger's and 2D diffusion equations, Haar wavelet method for solving some nonlinear parabolic equations, Applications of Haar basis method for solving some ill-posed inverse problems, Solution of initial value problems using an operational matrix, Wavelet method to film-pore diffusion model for methylene blue adsorption onto plant leaf powders, An operational Haar wavelet collocation method for solving singularly perturbed boundary-value problems, A new method for solving of Darboux problem with Haar wavelet, Using Bernstein multi-scaling polynomials to obtain numerical solution of Volterra integral equations system, State analysis of linear time delayed systems via Haar wavelets, Haar wavelet-quasilinearization technique for fractional nonlinear differential equations, Haar wavelet operational methods for the numerical solutions of fractional order nonlinear oscillatory Van der Pol system, On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation, Non-recursive Haar connection coefficients based approach for linear optimal control, The Legendre wavelet method for solving fractional differential equations, Solving PDEs with the aid of two-dimensional Haar wavelets, Wavelet methods for solving three-dimensional partial differential equations, A numerical method for solving boundary value problems for fractional differential equations, Quadrature rules for numerical integration based on Haar wavelets and hybrid functions, Two-dimensional wavelets for numerical solution of integral equations, Laplace transform inversion using Bernstein operational matrix of integration and its application to differential and integral equations, The Legendre wavelet method for solving initial value problems of Bratu-type, Application of the Haar wavelet method for solution the problems of mathematical calculus, Wavelet methods for solving fractional order differential equations, A Shannon-Runge-Kutta-Gill method for convection-diffusion equations, A two-dimensional Haar wavelet approach for the numerical simulations of time and space fractional Fokker-Planck equations in modelling of anomalous diffusion systems, State analysis and optimal control of time-varying discrete systems via Haar wavelets, Optimal control of linear time-varying systems via Haar wavelets, Haar wavelet approach to linear stiff systems., Haar wavelet direct method for solving variational problems., A Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers' equation, Haar wavelet method for some nonlinear Volterra integral equations of the first kind, Solving mixed Fredholm-Volterra integral equations by using the operational matrix of RH wavelets, A novel algorithm based on the Legendre wavelets spectral technique for solving the Lane-Emden equations, \(\Phi\)-Haar wavelet operational matrix method for fractional relaxation-oscillation equations containing \(\Phi\)-Caputo fractional derivative, Review of wavelet methods for the solution of reaction-diffusion problems in science and engineering, Haar Adomian method for the solution of fractional nonlinear Lane-Emden type equations arising in astrophysics, Birthmark based identification of software piracy using Haar wavelet, Analysis of general unified MHD boundary-layer flow of a viscous fluid -- a novel numerical approach through wavelets, An efficient numerical algorithm for multi-dimensional time dependent partial differential equations, The Bernoulli wavelets operational matrix of integration and its applications for the solution of linear and nonlinear problems in calculus of variations, Direct Walsh-wavelet packet method for variational problems, On numerical solution of two-dimensional nonlinear Urysohn fuzzy integral equations based on fuzzy Haar wavelets, Feedback control method using Haar wavelet operational matrices for solving optimal control problems, Efficient algorithms to compute Hankel transforms using wavelets, A comparative study of numerical integration based on Haar wavelets and hybrid functions, Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations, Haar wavelet-based approach for optimal control of second-order linear systems in time domain, Numerical solution of differential equations using Haar wavelets, Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions, Solving a nonlinear fractional differential equation using Chebyshev wavelets, Numerical solution of nonlinear fifth-order KdV-type partial differential equations via Haar wavelet, Numerical solution of fractional differential equations using Haar wavelet operational matrix method, Haar wavelet operational matrix method to solve initial value problems: a short survey, A numerical assessment of parabolic partial differential equations using Haar and Legendre wavelets, Operational matrices from a frame and their applications in solving boundary value problems with mixed boundary conditions, A numerical scheme for a class of generalized Burgers' equation based on Haar wavelet nonstandard finite difference method, Solution of singularly perturbed differential difference equations and convection delayed dominated diffusion equations using Haar wavelet, Uniform Haar wavelet technique with Newton's method for a kind of derivative dependent SBVPs, An application of single-term Haar wavelet series in the solution of nonlinear oscillator equations, Haar wavelet in estimating depth profile of soil temperature, An improved method for computing Hankel transform, A novel model for the contamination of a system of three artificial lakes, New construction of wavelets base on floor function, Haar wavelet method for solving Fisher's equation, Weak formulation based Haar wavelet method for solving differential equations, Combined preorder and postorder traversal algorithm for the analysis of singular systems by Haar wavelets, Hybrid function method for solving Fredholm and Volterra integral equations of the second kind, Haar wavelet method for solving generalized Burgers-Huxley equation, Generalized wavelet method for solving non-steady heat transfer model of fractional order, Wavelet solution of a strongly nonlinear Lane-Emden equation, Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations, A Haar wavelet multi-resolution collocation method for singularly perturbed differential equations with integral boundary conditions, A hybrid collocation method for the computational study of multi-term time fractional partial differential equations, On wave-packets and discontinuities in triple-deck solutions of supersonic separated flows at a compression corner, Chebyshev wavelets collocation method for extended Fisher Kolmogorov equations one and two space dimension, A computational approach for finding the numerical solution of modified unstable nonlinear Schrödinger equation via Haar wavelets, EXTENSION OF HAAR WAVELET TECHNIQUES FOR MITTAG-LEFFLER TYPE FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS, An efficient technique based on higher order Haar wavelet method for Lane-Emden equations, A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints, A hybrid reptile search algorithm and Levenberg-Marquardt algorithm based Haar wavelets to solve regular and singular boundary value problems, On some computational aspects of Hermite & Haar wavelets on a class of nonlinear singular BVPs, Introducing higher-order Haar wavelet method for solving three-dimensional partial differential equations, The inverse solution of the coupled nonlinear reaction–diffusion equations by the Haar wavelets, Solution of variational problems via Haar orthonormal wavelet direct method, Sine-cosine wavelets operational matrix of integration and its applications in the calculus of variations, Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration, Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration, Numerical solution of time-varying functional differential equations via Haar wavelets, A computational method for optimal control problem of time-varying state-delayed systems by Haar wavelets, A Legendre wavelet spectral collocation method for solving oscillatory initial value problems, 2D-WAVELETS BASED EFFICIENT SCHEME FOR SOLVING SOME PDEs, Fibonacci wavelet method for solving Pennes bioheat transfer equation, Haar wavelet iteration method for solving time fractional Fisher's equation, State analysis of time-varying singular nonlinear systems using Legendre wavelets, A wavelet operational method for solving fractional partial differential equations numerically, Numerical solution of stiff differential equations via Haar wavelets, Hartley series approximations for the parabolic equations, On the numerical solution of some differential equations with nonlocal integral boundary conditions via Haar wavelet, Free vibration analysis of tapered Timoshenko beam with higher order Haar wavelet method, A computational method for solving optimal control and parameter estimation of linear systems using Haar wavelets, Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions, Haar wavelet method for solving fractional partial differential equations numerically, Free vibration analysis of a functionally graded material beam: evaluation of the Haar wavelet method, Haar wavelet method for two-dimensional parabolic inverse problem with a control parameter, Haar wavelet collocation method for three-dimensional elliptic partial differential equations, Approximation of functions with bounded derivative and solution of Riccati differential equations by Jacobi wavelet operational matrix, Fractional-order Bernoulli functions and their applications in solving fractional Fredholem-Volterra integro-differential equations, An efficient numerical algorithm based on Haar wavelet for solving a class of linear and nonlinear nonlocal boundary-value problems, A computational approach for solving fractional Volterra integral equations based on two-dimensional Haar wavelet method, A numerical method for fractional pantograph delay integro-differential equations on Haar wavelet, Combining the shooting method with an operational matrix method to solve two point boundary value problems, A wavelet based rationalized approach for the numerical solution of differential and integral equations, Analysis of time-varying singular bilinear systems by hybrid functions, Numerical solutions of generalized <scp>Rosenau–KDV–RLW</scp> equation by using Haar wavelet collocation approach coupled with nonstandard finite difference scheme and quasilinearization, A generalized scheme based on shifted Jacobi polynomials for numerical simulation of coupled systems of multi-term fractional-order partial differential equations, A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation-oscillation equations of fractional order, Hybrid model for the optimal numerical solution of nonlinear ordinary differential systems, Unnamed Item, Spectral and Haar wavelet collocation method for the solution of heat generation and viscous dissipation in micro-polar nanofluid for MHD stagnation point flow, A high-order multi-resolution wavelet method for nonlinear systems of differential equations, NUMERICAL ASSESSMENT OF THE BRAIN TUMOR GROWTH MODEL VIA FIBONACCI AND HAAR WAVELETS, A HYBRID NUMERICAL TECHNIQUE FOR SOLVING THREE-DIMENSIONAL SECOND-ORDER PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS, A 3D Haar wavelet method for a coupled degenerate system of parabolic equations with nonlinear source coupled with non-linear ODEs, Haar wavelet method for solving nonlinear age-structured population models, Numerical solution of parabolic partial differential equations using adaptive gird Haar wavelet collocation method, Numerical solution of general Emden–Fowler equation using Haar wavelet collocation method, A novel hybrid approach for computing numerical solution of the time-fractional nonlinear one and two-dimensional partial integro-differential equation, Approximation of functions of Hőlder class and solution of ODE and PDE by extended Haar wavelet operational matrix, A comparative study on Haar wavelet and Hosaya polynomial for the numerical solution of Fredholm integral equations, Haar wavelet operational matrix method for system of fractional nonlinear differential equations, Unnamed Item, The wavelet methods to linear and nonlinear reaction-diffusion model arising in mathematical chemistry, Two reliable wavelet methods to Fitzhugh-Nagumo (FN) and fractional FN equations, Higher resolution methods based on quasilinearization and Haar wavelets on Lane–Emden equations, Haar Wavelet: History and Its Applications, The linear Legendre mother wavelets operational matrix of integration and its application, A computational algorithm for the numerical solution of fractional order delay differential equations, Numerical inversion of laplace transform via wavelet in partial differential equations, Numerical investigation of dynamic Euler-Bernoulli equation via 3-Scale Haar wavelet collocation method, Numerically efficient approximations to the optimal control of linear singularly perturbed systems based on Haar wavelets, On the solutions of fractional Burgers-Fisher and generalized Fisher's equations using two reliable methods, Haar wavelet method for nonlinear integro-differential equations, Solving optimal control problem using Hermite wavelet, Haar wavelet approach to nonlinear stiff systems, Numerical solution of linear Fredholm integral equations using sine–cosine wavelets, Unnamed Item, Legendre wavelets method for the numerical solution of fractional integro-differential equations with weakly singular kernel, Numerical solution of non-planar Burgers equation by Haar wavelet method, Numerical method to initial-boundary value problems for fractional partial differential equations with time-space variable coefficients, INTELLIGENT OPTIMAL CONTROL OF ROBOTIC MANIPULATORS USING WAVELETS, Unnamed Item, Numerical Solution of Diffusion and Reaction–Diffusion Partial Integro-Differential Equations, Approximate Solution of Higher Order Two Point Boundary Value Problems Using Uniform Haar Wavelet Collocation Method, Numerical solution of singularly perturbed problems using Haar wavelet collocation method, SIGNAL ANALYSIS AND PERFORMANCE EVALUATION OF A VEHICLE CRASH TEST WITH A FIXED SAFETY BARRIER BASED ON HAAR WAVELETS, Unnamed Item, Numerical solution of the general Volterra nth-order integro-differential equations via variational iteration method, An effective scheme for solving system of fractional Volterra-Fredholm integro-differential equations based on the Müntz-Legendre wavelets, Solving of nonlinear Fredholm integro-differential equation in a complex plane with rationalized Haar wavelet bases, Haar wavelet discretization approach for frequency analysis of the functionally graded generally doubly-curved shells of revolution, Unnamed Item, WAVELET-BASED PARAMETER IDENTIFICATION OF A NONLINEAR MAGNETORHEOLOGICAL DAMPER, A new approach based on using Chebyshev wavelets for solving various optimal control problems, Solution of fractional oscillator equations using ultraspherical wavelets, An operational Haar wavelet method for solving fractional Volterra integral equations, Haar wavelet operational matrix method for fractional oscillation equations, Unnamed Item, Wavelets approach to time-varying functional differential equations, Meshless and multi-resolution collocation techniques for parabolic interface models, Unnamed Item, Numerical inverse Laplace transform for solving a class of fractional differential equations, Generalized wavelet method for solving fractional bioheat transfer model during hyperthermia treatment, APPLICATION OF HIGHER ORDER HAAR WAVELET METHOD FOR SOLVING NONLINEAR EVOLUTION EQUATIONS, SOLVING NONLINEAR PDES USING THE HIGHER ORDER HAAR WAVELET METHOD ON NONUNIFORM AND ADAPTIVE GRIDS, Hybrid Fourier and block-pulse functions for applications in the calculus of variations, Meshfree Approach for the Torsional Analysis of Non-Circular Orthotropic and Functionally Graded Sections, Haar wavelet-based numerical investigation of coupled viscous Burgers' equation, Numerical Solution of Linear Fuzzy Fredholm Integral Equations of the Second Kind Using Fuzzy Haar Wavelet, Treatment of Singularly Perturbed Differential Equations with Delay and Shift Using Haar Wavelet Collocation Method, Solving optimal control problems of the time-delayed systems by Haar wavelet, A Legendre wavelet spectral collocation technique resolving anomalies associated with velocity in some boundary layer flows of Walter-B liquid
