Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method

Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation

In this paper, we present a new method for solving Reproducing Kernel Space (RKS) theory, and iterative algorithm for solving Generalized Burgers Equation (GBE) is presented. The analytical solution is shown in a series in a RKS, and the approximate solution u(x,t) is constructed by truncating the series. The convergence of u(x,t) to the analytical solution is also proved.

A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method

and Applied Analysis 3 Similarly, we define the space W 2 2 [0, T] = { { { { { { { V (t) | V (t) , V 󸀠 (t) are absolutely continuous in [0, T] , V 󸀠󸀠 (t) ∈ L 2 [0, T] , t ∈ [0, T] , V (0) = 0 } } }

Numerical Solution of Fractional Telegraph Equation via the Tau Method

This paper presents a computational technique based on the Tau method and Legendre polynomials for the solution of a class of time-fractional telegraph equations. An appropriate representation of the solution via the Legendre operational matrix of fractional derivative is used to reduces its numerical treatment to the solution of a set of linear algebraic equations. The fractional derivatives a...

Method of Reproducing Kernel

A numerical solution of Nagumo telegraph equation by Adomian decomposition method

In this work, the solution of a boundary value problem is discussed via asemi analytical method. The purpose of the present paper is to inspect theapplication of the Adomian decomposition method for solving the Nagumotelegraph equation. The numerical solution is obtained for some special casesso that demonstrate the validity of method.