Exact solution of the heat equation with boundary condition of the fourth kind by He's variational iteration method
From MaRDI portal
Publication:979794
DOI10.1016/j.camwa.2009.03.052zbMath1189.65257OpenAlexW1986978135MaRDI QIDQ979794
Publication date: 28 June 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2009.03.052
Initial-boundary value problems for second-order parabolic equations (35K20) Solutions to PDEs in closed form (35C05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Related Items (3)
Application of homotopy perturbation method using Laplace transform intended for determining the temperature in the heterogeneous casting-mould system ⋮ The physical structures of solutions for generalized \(K(n,n)\) and \(BBM\) equations with variable coefficients ⋮ FRACTAL LAKSHMANAN–PORSEZIAN–DANIEL MODEL WITH DIFFERENT FORMS OF NONLINEARITY AND ITS NOVEL SOLITON SOLUTIONS
Cites Work
- Beyond Adomian method: the variational iteration method for solving heat-like and wave-like equations with variable coefficients
- Variational iteration method for solving Burgers and coupled Burgers equations
- The variational iteration method for exact solutions of Laplace equation
- Application of variational iteration method to heat- and wave-like equations
- Application of He's variational iteration method to Helmholtz equation
- Variational iteration method for solving nonlinear boundary value problems
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- Variational iteration method: New development and applications
- The variational iteration method for solving linear and nonlinear systems of PDEs
- The variational iteration method: A reliable analytic tool for solving linear and nonlinear wave equations
- The variational iteration method: a powerful scheme for handling linear and nonlinear diffusion equations
- Exact solutions of nonlinear diffusion equations by variational iteration method
- Direct and inverse one-phase Stefan problem solved by the variational iteration method
- Variational iteration method -- some recent results and new interpretations
- On the convergence of He's variational iteration method
- The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
- Approximate analytical solution for seepage flow with fractional derivatives in porous media
- Approximate solution of nonlinear differential equations with convolution product nonlinearities
- He's variational iteration method for computing a control parameter in a semi-linear inverse parabolic equation
- Construction of solitary solution and compacton-like solution by variational iteration method
- New applications of variational iteration method
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- Variational iteration method for autonomous ordinary differential systems
This page was built for publication: Exact solution of the heat equation with boundary condition of the fourth kind by He's variational iteration method