Solutions of the system of differential equations by differential transform method

From MaRDI portal
Publication:1412625

DOI10.1016/S0096-3003(02)00794-4zbMath1032.35011OpenAlexW2019193369MaRDI QIDQ1412625

Fatma Ayaz

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00794-4



Related Items

Modified Differential Transform Method for Solving Black-Scholes Pricing Model of European Option Valuation Paying Continuous Dividends, On the suitability of differential transform method for solving the self‐similar channel flow problems, The numerical solution of partial differential-algebraic equations, Heat and mass transfer in a vertical double passage channel filled with electrically conducting fluid, MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction, Modified differential transform method for solving linear and nonlinear pantograph type of differential and Volterra integro-differential equations with proportional delays, Differential transform method for solving Volterra integral equation with separable kernels, Effective approximate methods for strongly nonlinear differential equations with oscillations, Unnamed Item, Numeric-analytic solutions of mixed-type systems of balance laws, A new approach and solution technique to solve time fractional nonlinear reaction-diffusion equations, Lucas polynomial approach for system of high-order linear differential equations and residual error estimation, Nanofluid flow and heat transfer between parallel plates considering Brownian motion using DTM, Approximate analytic solutions of time-fractional Hirota-Satsuma coupled KdV equation and coupled MKdV equation, Solitary wave solutions for the KdV and mKdV equations by differential transform method, Two-dimensional differential transform method for solving linear and non-linear Schrödinger equations, Differential transform method for solving the linear and nonlinear Klein-Gordon equation, A numeric-analytic method for approximating the chaotic Chen system, A well-balanced ADER discontinuous Galerkin method based on differential transformation procedure for shallow water equations, Differential transform method applied to high index differential-algebraic equations, A general scheme for solving systems of linear first-order differential equations based on the differential transform method, Treatment a new approximation method and its justification for Sturm-Liouville problems, Adaptive multi-step differential transformation method to solving nonlinear differential equations, A new implicit-explicit local differential method for boundary value problems, On higher-order boundary value problems by using differential transformation method with convolution terms, On numerical solution to fractional nonlinear oscillatory equations, Ternary-fractional differential transform schema: theory and application, Analysis and numerical computation of a fractional order mathematical model of testosterone secretion in humans, A study on the convergence conditions of generalized differential transform method, A generalized scheme based on shifted Jacobi polynomials for numerical simulation of coupled systems of multi-term fractional-order partial differential equations, Generalized differential transform method to differential-difference equation, ANALYTICAL APPROXIMATE SOLUTIONS OF (N + 1)-DIMENSIONAL FRACTAL HARRY DYM EQUATIONS, Analytical solution of MHD slip flow past a constant wedge within a porous medium using DTM-Padé, MHD flow of an incompressible viscous fluid through convergent or divergent channels in presence of a high magnetic field, APPROXIMATE SOLUTIONS OF THE SWIFT-HOHENBERG EQUATION WITH DISPERSION, On Chaotic Behavior of Temperature Distribution in a Heat Exchanger, Unnamed Item, Solutions of nonlinear oscillators by the modified differential transform method, Differential transform method for solving solitary wave with discontinuity, Exact solutions for non-linear Schrödinger equations by differential transformation method, Analytical and approximate solutions of fractional partial differential-algebraic equations, The numerical study of a hybrid method for solving telegraph equation, Enhanced multistage differential transform method: application to the population models, Solution of second-order IVP and BVP of matrix differential models using matrix DTM, Differential transform method for the system of two-dimensional nonlinear Volterra integro-differential equations, An improvement of the differential transformation method and its application for boundary layer flow of a nanofluid, Solution of \((3 + 1)\)-dimensional nonlinear cubic Schrödinger equation by differential transform method, A new analytical study of MHD stagnation-point flow in porous media with heat transfer, Nonlinear Klein-Gordon and Schrödinger equations by the projected differential transform method, Status of the differential transformation method, Analytic solution of steady three-dimensional problem of condensation film on inclined rotating disk by differential transform method, Analytical modelling of three-dimensional squeezing nanofluid flow in a rotating channel on a lower stretching porous wall, Variational iteration transform method for fractional differential equations with local fractional derivative, Solution of the boundary layer equation of the power-law pseudoplastic fluid using differential transform method, Strong form meshless implementation of Taylor series method, ON A NEW DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS, Extended two-dimensional DTM and its application on nonlinear PDEs with proportional delay, Unnamed Item, Multivariate padé approximation for solving partial differential equations (PDE), A new ADER discontinuous Galerkin method based on differential transformation procedure for hyperbolic conservation laws, Generalized differential transform method: Application to differential equations of fractional order, Comparing numerical methods for solving time-fractional reaction-diffusion equations, A new method for a generalized Hirota-Satsuma coupled KdV equation, Approximate solutions to MHD Falkner-Skan flow over permeable wall, Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions, Using differential transform method and Padé approximant for solving MHD flow in a laminar liquid film from a horizontal stretching surface, On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and Adomian decomposition method, Efficient multi-step differential transform method: theory and its application to nonlinear oscillators, An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems, Numerical solutions of linear time-varying descriptor systems via hybrid functions, Solution of difference equations by using differential transform method, A numerical solution of second-order linear partial differential equations by differential transform, The numerical solutions of differential transform method and the Laplace transform method for a system of differential equations, A multi-step differential transform method and application to non-chaotic or chaotic systems, The modified differential transform method for solving MHD boundary-layer equations, Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation, Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method, A reliable aftertreatment for improving the differential transformation method and its application to nonlinear oscillators with fractional nonlinearities, Application of generalized differential transform method to multi-order fractional differential equations, Numerical study of the solution of the Burgers and coupled Burgers equations by a differential transformation method, Approximate periodic solutions for the non-linear relativistic harmonic oscillator via differential transformation method, On the solutions of time-fractional reaction-diffusion equations, A new approximate analytical method for ODEs, Uncertainty quantification for the random viscous Burgers' partial differential equation by using the differential transform method, Free vibration analysis of axially functionally graded tapered Timoshenko beams using differential transformation element method and differential quadrature element method of lowest-order, SOLVING DIFFERENTIAL EQUATIONS USING ADOMIAN DECOMPOSITION METHOD AND DIFFERENTIAL TRANSFORM METHOD, Using differential transform method and Pade approximation for solving MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet, Comparison differential transformation technique with adomian decomposition method for linear and nonlinear initial value problems, Solutions of delay differential equations by using differential transform method, Unnamed Item, Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method, Solutions to the problem of prey and predator and the epidemic model via differential transform method, An approximate method for solving a class of nonlinear optimal control problems, NEW ANALYTICAL SOLUTION OF THE THREE-DIMENSIONAL NAVIER–STOKES EQUATIONS, On the MHD and slip flow over a rotating disk with heat transfer, THE MODIFIED DIFFERENTIAL TRANSFORM METHOD FOR SOLVING OFF-CENTERED STAGNATION FLOW TOWARD A ROTATING DISC, Analysis of the vibration of an elastic beam supported on elastic soil using the differential transform method, New Analytical Solution of Two-Dimensional Viscous Flow in a Rectangular Domain Bounded by Two Moving Porous Walls, Applications of differential transform methods to differential-algebraic equations, Nonlinear analysis of memcapacitor-based hyperchaotic oscillator by using adaptive multi-step differential transform method, Unnamed Item



Cites Work