Numerical Solution of Helmholtz's Equation by Implicit Capacitance Matrix Methods

Numerical Solution of Sawada-Kotera equation by using Iterative Methods

On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method

In recent years the usefulness of fast Laplace solvers has been extended to problems on arbitrary regions in the plane by the development of capacitance matrix methods. The solution of the Dirichlet and Neumann problems for Helmholtz's equation is considered. It is shown, that by an appropriate choice of the fast solver, the capacitance matrix can be generated quite inexpensively. An analogy be...

NUMERICAL SOLUTION OF INTEGRO-DIFFERENTIAL EQUATION BY USING CHEBYSHEV WAVELET OPERATIONAL MATRIX OF INTEGRATION

In this paper, we propose a method to approximate the solution of a linear Fredholm integro-differential equation by using the Chebyshev wavelet of the first kind as basis. For this purpose, we introduce the first Chebyshev operational matrix of integration. Chebyshev wavelet approximating method is then utilized to reduce the integro-differential equation to a system of algebraic equations. Il...

numerical solution of sawada-kotera equation by using iterative methods

Numerical solution of Klein-Gordon equation by using the Adomian's decomposition and variational iterative methods