Applying faster algorithm for obtaining convergence, stability, and data dependence results with application to functional-integral equations

AIMS Mathematics

article

Hasanen A. Hammad¹  Habib Ur Rehman³  Mohra Zayed⁴ 

[1] Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University;Department of Mathematics, Faculty of Science, Sohag University;Department of Mathematics, Monglkut's University of Technology;Mathematics Department, College of Science, King Khalid University

关键词: convergence result;    fixed point;    data-dependent result;    $ \Xi $-stable;    numerical experiment;    functional integral equation;   

DOI  :  10.3934/math.20221046

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY