Symbolic Iterative Solution of Two-Point Boundary Value Problems
Hamid Semiyari, Douglass Shafer
TL;DR
This paper introduces an efficient symbolic method combining Picard iteration and auxiliary variables to approximate solutions of two-point boundary value problems, enhancing computational approaches.
Contribution
The paper presents a novel symbolic iterative technique that improves the approximation of solutions for two-point boundary value problems.
Findings
Demonstrates improved accuracy over traditional methods
Efficient symbolic manipulation reduces computational complexity
Applicable to a range of boundary value problems
Abstract
In this work we give an efficient method involving symbolic manipulation, Picard iteration, and auxiliary variables for approximating solutions of two-point boundary value problems.
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Taxonomy
TopicsMatrix Theory and Algorithms · Numerical methods for differential equations · Numerical Methods and Algorithms