Scientific Research Publishing

A Computational Quadruple Laplace Transform for the Solution of Partial Differential Equations ()

1 Department of Mathematics, University of Education, Okara Campus, Okara, Pakistan. 2 Center for Undergraduate Studies, University of the Punjab, Lahore, Pakistan. 3 Air University Multan Campus, ...
Scientific Research Publishing

Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method ()

In this paper, the Combined Laplace Transform-Adomian Decomposition Method is used to solve nth-order integro-differential equations. The results show that the method is very simple and effective. In ...
IEEE

Solution of piecewise- linear ordinary differential equations using waveform relaxation and Laplace transforms

Abstract: Piecewise-linear (PWL) functions are frequently used to describe the nonlinear branch equations of nonlinear devices in LSI circuits. New techniques for the solution of the differential ...
Frontiers

A modern analytic method to solve singular and non-singular linear and non-linear differential equations

1 Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt, Jordan 2 Department of Mathematics, Faculty of Science, Zarqa University, Zarqa, Jordan This article circumvents the ...
IEEE

Solving Power System Differential Algebraic Equations Using Differential Transformation

Abstract: This paper proposes a novel non-iterative method to solve power system differential algebraic equations (DAEs) using the differential transformation, which is a mathematical tool able to ...
Europe PMC

Complete analytic solutions for convection-diffusion-reaction-source equations without using an inverse Laplace transform.

Transient mass-transfer phenomena occurring in natural and engineered systems consist of convection, diffusion, and reaction processes. The coupled phenomena can be described by using the unsteady ...