Galerkin method for linear Integral-Algebraic Equations of index 1
B. Shiri
TL;DR
This paper investigates the application of Galerkin methods to solve linear Integral-Algebraic Equations of index 1, including convergence analysis for the indirect approach, advancing numerical solution techniques for these equations.
Contribution
It introduces and analyzes Galerkin methods specifically tailored for linear Integral-Algebraic Equations of index 1, providing convergence results for the indirect method.
Findings
Convergence of the indirect Galerkin method is established.
Effective numerical solutions for linear Integral-Algebraic Equations of index 1 are demonstrated.
Theoretical analysis supports the method's reliability.
Abstract
In this paper, we study direct and indirect Galerkin method for solving linear Integral-Algebraic Equations of index 1. Convergence of indirect method is also analyzed.
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Taxonomy
TopicsNumerical methods for differential equations · Differential Equations and Numerical Methods · Matrix Theory and Algorithms