Approximate solution of nonlinear differential equations with convolution product nonlinearities
From MaRDI portal
Publication:1808128
DOI10.1016/S0045-7825(98)00109-1zbMath0932.65143MaRDI QIDQ1808128
Publication date: 21 March 2000
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Lagrange multiplier methodvariational iteration methodnonlinear differential equations with convolution product nonlinearitiesnonlinear integro-ordinary differential equations
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)
Related Items
On the solutions of nonlinear fractional Klein-Gordon equation with modified Riemann-Liouville derivative, Blow-up solutions of the generalized Boussinesq equation obtained by variational iteration method, Variational iteration method for solving nonlinear boundary value problems, Application of variational iteration method for Hamilton-Jacobi-Bellman equations, Variational iteration method for two-dimensional steady slip flow in micro-channels, On the solution of two-dimensional coupled Burgers' equations by variational iteration method, Modified homotopy perturbation method for solving non-linear Fredholm integral equations, Approximate analytic solutions of time-fractional Hirota-Satsuma coupled KdV equation and coupled MKdV equation, Application of homotopy-perturbation to non-linear partial differential equations, Application of He's variational iteration method for solution of differential-algebraic equations, Variational iteration method for solving the wave equation subject to an integral conservation condition, A note on fractional diffusion equations, Boundary layer convective heat transfer with pressure gradient using homotopy perturbation method (HPM) over a flat plate, A study on the convergence of variational iteration method, An approximate solitary wave solution with compact support for the modified KdV equation, Variational iteration method for solving Fokker-Planck equation, Variational iteration method for solving the epidemic model and the prey and predator prob\-lem, Variational iteration method for singular perturbation initial value problems, Generalisation of the Lagrange multipliers for variational iterations applied to systems of differential equations, The HPM applied to MHD nanofluid flow over a horizontal stretching plate, Variational iteration method for elastodynamic Green's functions, Modified variational iteration technique for solving singular fourth-order parabolic partial differential equations., Convergence of the variational iteration method for solving multi-order fractional differential equations, On Legendre polynomial approximation with the VIM or HAM for numerical treatment of nonlinear fractional differential equations, Numerical solutions for linear system of first-order fuzzy differential equations with fuzzy constant coefficients, Variational iteration method for the time-fractional Fornberg-Whitham equation, On the numerical solution of the model for HIV infection of \(CD4^{+}\) T cells, An efficient method for solving Emden-Fowler equations, Variational iteration method: New development and applications, Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations, A variational iteration method for solving parabolic partial differential equations, Construction of a solitary wave solution for the generalized Zakharov equation by a variational iteration method, Application of He's variational iteration method for solving the reaction-diffusion equation with ecological parameters, Variational iteration method and homotopy perturbation method for nonlinear evolution equations, Variational approach to solitary wave solution of the generalized Zakharov equation, He's variational iteration method for fourth-order parabolic equations, The numerical simulation for stiff systems of ordinary differential equations, Application of the variational iteration method to the Whitham-Broer-Kaup equations, Fourth order integro-differential equations using variational iteration method, Coupling technique of variational iteration and homotopy perturbation methods for nonlinear matrix differential equations, An efficient method for fourth-order boundary value problems, Exact solutions of nonlinear diffusion equations by variational iteration method, Application of He's methods to nonlinear chemistry problems, Variational iteration method for solving a nonlinear system of second-order boundary value problems, Direct and inverse one-phase Stefan problem solved by the variational iteration method, Numerical simulation of equal-width wave equation, Application of the variational iteration method to the regularized long wave equation, Comparison between the homotopy perturbation method and the sine-cosine wavelet method for solving linear integro-differential equations, The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method, Homotopy perturbation method for solving fourth-order boundary value problems, Approximate explicit solutions of Orr-Sommerfeld equations and heat transfer in a geometry with variable cross section by he's methods and comparison with the ADM and DTM, Numerical simulation of KdV and mKdv equations with initial conditions by the variational iteration method, Homotopy perturbation method for solving sixth-order boundary value problems, Reliable approaches of variational iteration method for nonlinear operators, Application of He's variational iteration method to solve semidifferential equations of \(n\)th order, Application of variational iteration method to fractional hyperbolic partial differential equations, A novel solution for the Glauert-jet problem by variational iteration method-Padé approximant, Modified homotopy perturbation method for solving system of linear Fredholm integral equations, Exact solitary solutions of an inhomogeneous modified nonlinear Schrödinger equation with competing nonlinearities, The approximate solution of steady temperature distribution in a rod: Two-point boundary value problem with higher order nonlinearity, Application of He's variational iteration method to nonlinear heat transfer equations, Variational iteration method for solving Burgers and coupled Burgers equations, Comparison between the variational iteration method and the homotopy perturbation method for the Sturm-Liouville differential equation, The steady temperature distributions with different types of nonlinearities, Improvement of He's variational iteration method for solving systems of differential equations, He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations, Variational iteration method for solving a generalized pantograph equation, The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics, The numerical solution of fifth-order boundary value problems by the variational iteration method, A new application of He's variational iteration method for the solution of the one-phase Stefan problem, Exact solution of the heat equation with boundary condition of the fourth kind by He's variational iteration method, Variational iteration method for Sturm-Liouville differential equations, The modified differential transform method for solving MHD boundary-layer equations, A spectral domain decomposition approach for the generalized Burger's-Fisher equation, An efficient technique for finding the eigenvalues of fourth-order Sturm-Liouville problems, A new domain decomposition algorithm for generalized Burgers-Huxley equation based on Chebyshev polynomials and preconditioning, Numerical and explicit solutions of the fifth-order Korteweg-de Vries equations, Applications of He's principles to partial differential equations, Construction of exact periodic wave and solitary wave solutions for the long-short wave resonance equations by VIM, Analytical solution of three-dimensional Navier-Stokes equations for the flow near an infinite rotating disk, He's variational iteration method for solving linear and non-linear systems of ordinary differential equations, Application of homotopy perturbation method for solving eighth-order boundary value problems, Numerical simulation of the generalized Huxley equation by He's homotopy perturbation method, Variational iteration method -- some recent results and new interpretations, Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations, Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM, An approximation solution of a nonlinear equation with Riemann-Liouville's fractional derivatives by He's variational iteration method, A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials, Harmonic wave generation in nonlinear thermoelasticity by variational iteration method and Adomian's method, Variational iteration method for solving two-point boundary value problems, Numerical approach to differential equations of fractional order, Numerical solutions of nonlinear evolution equations using variational iteration method, On the convergence of He's variational iteration method, He's parameter-expanding methods for strongly nonlinear oscillators, Variational iteration method for solving cubic nonlinear Schrödinger equation, The variational iteration method for studying the Klein-Gordon equation, New exact solutions for the Kawahara equation using exp-function method, Variational iteration method for fractional heat- and wave-like equations, Application of He's variational iteration method to Helmholtz equation, A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations, Crank–Nicolson finite difference method for time-fractional coupled KdV equation, Unnamed Item, Application of homotopy perturbation method using Laplace transform intended for determining the temperature in the heterogeneous casting-mould system, Iterated He's homotopy perturbation method for quadratic Riccati differential equation, Numerical method for solving fractional coupled Burgers equations, A numerical solution for solving system of Fredholm integral equations by using homotopy perturbation method, Variational iteration method for solving wave equation, Convergence of the variational iteration method for solving linear systems of ODEs with constant coefficients, Application of variational iteration method and homotopy perturbation method to the modified Kawahara equation, Taylor collocation method for a system of nonlinear Volterra delay integro-differential equations with application to COVID-19 epidemic, Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrödinger equation, HPM AND VIM METHODS FOR FINDING THE EXACT SOLUTIONS OF THE NONLINEAR DISPERSIVE EQUATIONS AND SEVENTH-ORDER SAWADA–KOTERA EQUATION, ANALYTICAL APPROACHES FOR SYSTEM OF NONLINEAR EQUATIONS ARISING IN MELTING OF A FINITE SLAB, Unnamed Item, Fractional-view analysis of Jaulent-Miodek equation via novel analytical techniques, Efficient numerical algorithms of time fractional telegraph‐type equations involving Hadamard derivatives, Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method, Unnamed Item, Numerical comparison of methods for solving linear differential equations of fractional order, Study of parametric oscillation of an electrostatically actuated microbeam using variational iteration method, Applications of New Iterative Method to fractional non linear coupled ITO system, Dark and kink soliton solutions of the generalized ZK-BBM equation by iterative scheme, Unnamed Item, A superconvergent ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems, Application of homotopy perturbation and numerical methods to the circular porous slider, Construction of target controllable image segmentation model based on homotopy perturbation technology, HE'S VARIATIONAL ITERATION METHOD FOR THE SOLUTION OF NONLINEAR NEWELL-WHITEHEAD-SEGEL EQUATION, Homotopy perturbation method and variational iteration method for harmonic waves propagation in nonlinear magneto-thermoelasticity with rotation, Numerical methods for fractional order singular partial differential equations with variable coefficients, Variational iteration method for singular perturbation initial value problems with delays, Numerical solution of a class of nonlinear partial differential equations by using barycentric interpolation collocation method, Convergence of variational iteration method for solving singular partial differential equations of fractional order, Jacobi elliptic function solutions of the (1 + 1)-dimensional dispersive long wave equation by Homotopy Perturbation Method, Numerical solutions of the space-time fractional advection-dispersion equation, Variational iteration method for solving the generalized Degasperis-Procesi equation, Solving nonlinear Volterra–Fredholm integro-differential equations using He's variational iteration method, Numerical solution of coupled Schrödinger-KdV equation via modified variational iteration algorithm-II, Series expansion of functions with He's homotopy perturbation method, The solution of Burgers' and good Boussinesq equations using ADM-Padé technique, Nonlinear fluid flows in pipe-like domain problem using variational-iteration method, He's variational iteration method for computing a control parameter in a semi-linear inverse parabolic equation, A note on solutions of an equation modelling arterial deformation, Variational iteration method for solving generalized Burger-Fisher and Burger equations, Exact and numerical solitary wave solutions of generalized Zakharov equation by the variational iteration method, Numerical methods for nonlinear partial differential equations of fractional order, Preconditioned modified AOR method for systems of linear equations, Modified rational Legendre approach to laminar viscous flow over a semi-infinite flat plate, Solve fractional differential equations via a hybrid method between variational iteration method and gray wolf optimization algorithm, Variational iteration method for one-dimensional nonlinear thermoelasticity, A numerical method for solving \(n\)th-order boundary-value problems, Solution of parabolic integro-differential equations arising in heat conduction in materials with memory via He's variational iteration technique, Variational iteration method for autonomous ordinary differential systems, Exact solitary wave solution of Boussinesq equation by VIM, Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations, He's homotopy perturbation method for solving Korteweg‐de Vries Burgers equation with initial condition, Application of He's homotopy perturbation and He's variational iteration methods for solution of Benney–Lin equation, Construction of solitary solution and compacton-like solution by variational iteration method, A numerical simulation and explicit solutions of KdV-Burgers' and Lax's seventh-order KdV equations, The solution of nonlinear coagulation problem with mass loss, Analytical solutions to nonlinear equations arising in heat transfer by variational iteration, homotopy perturbation, and Adomian decomposition methods, Variational iteration method and differential transformation method for solving the SEIR epidemic model, ANALYTICAL COMPARISON BETWEEN THE HOMOTOPY PERTURBATION METHOD AND VARIATIONAL ITERATION METHOD FOR DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER, Solutions of Fisher-type, cubic-Boussinesq and 7th-order Caudrey-Dodd-Gibbon equations by MVIM, Variational approach for nonlinear oscillators, Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method, Variational iteration method for solving coupled-KdV equations, Fractional Variational Iteration Method for Time Fractional Fourth-Order Diffusion-Wave Equation, Variational iteration method for solving three-dimensional Navier-Stokes equations of flow between two stretchable disks, The use of He's variational iteration method for solving the telegraph and fractional telegraph equations, Numerical simulations of the Boussinesq equation by He's variational iteration method, SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS, An effective modification of He's variational iteration method, Solving ratio-dependent predator-prey system with constant effort harvesting using homotopy perturbation method, Convergence of the variational iteration method for the telegraph equation with integral conditions, Analytical solution of a fractional diffusion equation by variational iteration method, Analysis of Blasius Equation for Flat-plate Flow with Infinite Boundary Value, APPLICATION OF HE'S PARAMETRIZED PERTURBATION METHOD FOR NONLINEAR HEAT DIFFUSION AND HEAT TRANSFER EQUATIONS, Periodic solution for strongly nonlinear vibration systems by He's variational iteration method, An approximate solution technique depending on an artificial parameter: A special example, A numerical simulation of modified Boussinesq and seven‐order Sawada‐Kotara equations, Computing eigenelements of boundary value problems with fractional derivatives, Fractional calculus and Sinc methods, Variational iteration method for Volterra functional integrodifferential equations with vanishing linear delays, New applications of variational iteration method, Numerical simulation of the generalized regularized long wave equation by He's variational iteration method, Analytical solution for a suspension bridge by applying HPM and VIM, Homotopy perturbation method: a new nonlinear analytical technique, Sinc-approximations of fractional operators: a computing approach
Cites Work