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 ...

Abstract: Integral equations come from a wide range of applications. Laplace transform has been playing an important role in mathematics; it is very powerful and widely used in solving integral ...

Integral transforms are important to solve real problems. Appropriate choice of integral transforms helps to convert differential equations as well as integral equations into terms of an algebraic ...

In this study, we introduce q*— (or q—multiplicative) Laplace transform by means of q*—integral. Some properties of q*—Laplace transform are presented. Also, q*—Laplace transform can be utilized for ...

Abstract: This paper discusses the solution of integral equations of the first kind using quadrature formulas and spline approximations. Particular attention is given to the problem of inverting the ...

Department of Mathematics, Polytechnic University of Tirana, Tirana, Albania. Department of Mathematics, University of Vlora, Vlora, Albania. A new integral transform is derived from the classical ...

I have made this code from the jupyter notebook of week2 assigment (documetaion is provided for it in pdf), the code in the jupyter notebook was an attempt on solving steady state circuit analysis, ...