In 1990, Balakrishnan proves some results on two dimensional Laplace transform involved with

Fourier Sine transform. In this paper we present a generalized version of the above results in n-

dimensional case. ...

Abstract

The main theme of the present paper is to establish a formula for calculating the Inverse Laplace transformation of functions of the form p1(s)/pn(s) F[(p1(s))2. This result is used to obtain the Inverse ...

In 2007, the author published some results on n-dimensional Laplace transform involved with the Fourier sine transform. In this paper, we propose some new result in n-dimensional Laplace transforms involved with Fourier ...

Abstract

One of the numerical methods for solving linear Volterra integral equations is block-by-block method, which is

explained in [L.M. Delves, J.L. Mohamed, Computational Methods for Integral Equations, ...

Abstract

One of the methods for solving definite integrals is modified trapezoid method, which is obtained by using Hermit interpolation

[J. Stoer, R. Bulirsch, Introduction to Numerical Analysis, Second ...

In this paper, an effective algorithm which is a combination of the spectral collocation method and the parametric iteration method (PIM) is proposed for simulating the solution of the chaotic Genesio system (CGS). Comparison ...

In this paper, a numerical method is proposed to estimate the solution of initial boundary value problems for a class of partial integro-differential equations. This is based on the cubic B-splines method for spatial ...

Abstract

This paper applies He’s variational iteration method for solving two systems of Volterra integro-differential equations. The

solution process is illustrated and various physically relevant results ...

Abstract

In this paper, we apply a new modified homotopy perturbation method to find exact solutions for nonlinear integral equations. A

reliable modification of the homotopy perturbation method is proposed, ...

In this paper, we use modified homotopy perturbation method(MHPM) for solving the systemof linear and non- linear Volterra integral equations. Comparisons are made between MHPM and well- known Adomain decomposition method ...