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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 ...
Scientific Research Publishing

Solution of Differential Equations with the Aid of an Analytic Continuation of Laplace Transform ()

College of Engineering, Nihon University, Koriyama, Japan. Tohoku University, Sendai, Japan. . We use for, to denote the least integer that is not less than x. In the present paper, the variable t is ...
IEEE

A novel technique for solving fuzzy differential equations of fractional order using Laplace and integral transforms

Abstract: In this paper, we propose a novel approach for the numerical solution of fuzzy fractional differential equations (FFDEs) under fuzzy Caputo-type derivative. More specifically, we first ...
lse

Partial Differential Equations

This course is available on the BSc in Mathematics and Economics, BSc in Mathematics with Data Science, BSc in Mathematics with Economics and BSc in Mathematics, Statistics and Business. This course ...