Applying faster algorithm for obtaining convergence, stability, and data dependence results with application to functional-integral equations
Hasanen A. Hammad, Habib ur Rehman, Mohra Zayed
Abstract
<abstract><p>The goal of this manuscript is to create a new faster iterative algorithm than the previous writing's sober algorithms. In the setting of Banach spaces, this algorithm is used to analyze convergence, stability, and data-dependence results. Basic numerical examples are also provided to highlight the behavior and effectiveness of our approach. Ultimately, the proposed approach is used to solve the functional Volterra-Fredholm integral problem as an application.</p></abstract>
Topics & Concepts
Convergence (economics)Stability (learning theory)Banach spaceAlgorithmMathematicsFredholm integral equationIntegral equationApplied mathematicsComputer scienceMathematical analysisMachine learningEconomic growthEconomicsOptimization and Variational AnalysisNumerical methods in inverse problemsFractional Differential Equations Solutions