The boundary value problems (BVPs) have attracted the attention of many scientists from both practical and theoretical points of view, for these problems have remarkable applications in different ...

This collection of notebooks documents my learning process through foundational topics in numerical computing. The first half—factorization, iterative methods, and eigenvalue extraction—focuses on ...

If the SINGLE option is not used, PROC MODEL computes values that simultaneously satisfy the model equations for the variables named in the SOLVE statement. PROC MODEL provides three iterative methods ...

ABSTRACT: This study compares the Adomian Decomposition Method (ADM) and the Variational Iteration Method (VIM) for solving nonlinear differential equations in engineering. Differential equations are ...

This repository contains the solution to a boundary value problem. The task involves solving a boundary value problem using the finite element method (FEM) in Python. This repository covers the ...

Abstract: This investigation incorporates digital numerical methods with neural networks for resolving an LCR circuit that shades the integro-differential equation. The variational iteration technique ...

This paper presents optimum an one-parameter iteration (OOPI) method and a multi-parameter iteration direct (MPID) method for efficiently solving linear algebraic systems with low order matrix A and ...

For the integral equation $\mathrm{u}\left(\mathrm{x}\right)={\int }_{0}^{1}\mathrm{K}(\mathrm{x},\mathrm{y})\times \mathrm{u}\left(\mathrm{y}\right)\mathrm{d}\mathrm ...