The Solution of the Regularized Long Wave Equation Using the Fourier Leap-Frog Method

Fractional reaction- diffusion equations or continuous time random walk models are also introduced for the description of non- linear reactions, propagating fronts, and two

By minimizing the averaged residual error, the optimal convergence-control parameters can be obtained, which give much better approximations than those given by the usual

Key words: Regularized Long Wave Equation; Differential Transformation Method; Nonlinear Partial Differential Equations; Closed-Form Solution.. Mathematics Subject Classification

A hybrid of Fourier transform and Adomian decomposition method (FTADM) is developed for solving the nonlinear non-homogeneous partial differential equations of the Cauchy problem

Recently, many powerful methods have been estab- lished and developed to carry out the integrations of NLPDEs of all kinds, such as the subsidiary ordinary differential equation

c International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046,

Recently, the variational iteration method (VIM), introduced by He (see [1, 2] and references therein), which gives rapidly convergent successive approximations of the exact solution

An efficient numerical method is developed for solving nonlinear wave equations by studying the propagation and stability properties of solitary waves (solitons) of the regularized