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 ...
Scientific Research Publishing

Numerical Solutions of Volterra Equations Using Galerkin Method with Certain Orthogonal Polynomials ()

1 Department of Mathematics, University of Ilorin, Ilorin, Nigeria. 2 Department of Mathematics and Computer Science, Delta State University, Abraka, Nigeria. Modelling of physical problems arising ...
IEEE

Solving Nonlinear Multi-Order Fractional Differential Equations Using Bernstein Polynomials

Abstract: This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational ...
GitHub

cPCG: Efficient and Customized Preconditioned Conjugate Gradient Method

An R package to solve system of linear equations using (preconditioned) conjugate gradient algorithm, with improved efficiency using Armadillo templated C++ linear algebra library, and flexibility for ...
IEEE

A New Algorithm for Solving of Harmonic Balance Equations by Using the Model Order Reduction Method

Abstract: The harmonic balance method (HB) is widely used for modeling nonlinear radio circuits in electronic CAD systems. The main problems of CAD algorithms and programs based on various ...