A variational iteration method for solving parabolic partial differential equations
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Publication:928794
DOI10.1016/j.camwa.2006.12.042zbMath1141.65385OpenAlexW2003501233MaRDI QIDQ928794
Mohammad Javidi, Ahmad Golbabai
Publication date: 11 June 2008
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2006.12.042
Lagrange multipliersnumerical examplesDirichlet boundary conditionparabolic problemsvariational iteration methodstationary conditions
Initial-boundary value problems for second-order parabolic equations (35K20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Cites Work
- Variational iteration method for solving Burgers and coupled Burgers equations
- Application of He's variational iteration method to Helmholtz equation
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- Exp-function method for nonlinear wave equations
- Application of He's homotopy perturbation method to Volterra's integro-differential equation
- Application of variational iteration method to nonlinear differential equations of fractional order
- The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations
- Approximate analytical solution for seepage flow with fractional derivatives in porous media
- Approximate solution of nonlinear differential equations with convolution product nonlinearities
- A numerical simulation and explicit solutions of the generalized Burgers--Fisher equation
- Exact and numerical solitary wave solutions of generalized Zakharov equation by the variational iteration method
- Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equa\-tion
- Limit cycle and bifurcation of nonlinear problems
- Application of homotopy perturbation method to nonlinear wave equations
- 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
- New periodic solutions for nonlinear evolution equations using Exp-function method
- Numerical simulation of the generalized regularized long wave equation by He's variational iteration method
- Variational Theory for Linear Magneto-Electro-Elasticity
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- An Approximate Solution for One-Dimensional Weakly Nonlinear Oscillations
- Variational iteration method for autonomous ordinary differential systems
