COMPARISON OF METHODS FOR SOLVING NONLINEAR FINITE-ELEMENT EQUATIONS IN HEAT TRANSFER

Galerkin Finite Element Methods for Nonlinear Klein-gordon Equations

We consider Galerkin finite element methods for the nonlinear Klein-Gordon equation, giving the first optimal-order energy norm semidiscrete error estimates for non-Lipschitz nonlinearity. The result holds quite generally in one and two space dimensions and under a certain growth restriction in three. We also discuss some time stepping strategies and present numerical results.

New analytical method for solving Burgers' and nonlinear heat transfer equations and comparison with HAM

Article history: Received 22 January 2009 Accepted 15 April 2009 Available online 17 April 2009

Comparison of Finite Element Methods for the Navier-Stokes Equations

Comparison between Rational Gegenbauer and Modified Generalized Laguerre Functions Collocation Methods for Solving the Case of Heat Transfer Equations Arising in Porous Medium

Finite element methods for Maxwell's equations