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 ...
SciELO

Differential transformation method for solving one-space-dimensional telegraph equation

In this research, the Differential Transformation Method (DTM) has been utilized to solve the hyperbolic Telegraph equation. This method can be used to obtain the exact solutions of this equation. In ...
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 ...
Frontiers

Khalouta transform and applications to Caputo-fractional differential equations

The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both ...