Symbolic Iterative Solution of Volterra Integral Equations
Hamid Semiyari, Douglas Shafer
TL;DR
This paper introduces a symbolic iterative method using auxiliary variables and Picard iteration to efficiently approximate solutions of specific Volterra integral equations.
Contribution
It presents a novel approach combining symbolic manipulation with auxiliary variables for solving Volterra integral equations.
Findings
Efficient symbolic method developed for Volterra equations
Method leverages auxiliary variables and Picard iteration
Potential for improved computational performance
Abstract
In this work we show how auxiliary variables can be used to give an efficient method involving symbolic manipulation and Picard iteration for approximating solutions of certain Volterra integral equations.
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Taxonomy
TopicsIterative Methods for Nonlinear Equations · Fractional Differential Equations Solutions · Functional Equations Stability Results