Implementation of New Iterative Method for Solving Nonlinear Partial Differential Problems
No Thumbnail Available
Date
2023-11-01
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Federal University, Dutsin Ma, Nigeria
Abstract
Nonlinear partial differential equations (PDEs) are prevalent in various scientific and engineering fields, demanding
efficient solution methods. This study focuses on the practical application and evaluation of a well-established iterative
method; New Iterative Method (NIM) for solving nonlinear PDEs. The primary aim is to assess the method's
performance and applicability in solving nonlinear PDEs. We present the chosen iterative method, discuss its
mathematical basis, and analyze its convergence properties, accuracy, and computational efficiency. We also provide
insights into practical implementations and conduct numerical experiments on diverse nonlinear PDEs. Numerical
experiments across various nonlinear PDEs confirm the method's accuracy and computational efficiency, positioning
it favorably compared to existing approaches. The NIM’s versatility and computational efficiency makes it a valuable
tool for tackling complex problems. This innovation has the potential to greatly benefit scientific and engineering
communities dealing with nonlinear PDEs, offering a promising solution for challenging real-world problems.
Keywords: Nonlinear Partial Differential Problems, Iterative Method, Computational Efficiency, Practical
Implementation, Numerical Experiments
Description
A Conference Proceeding
Keywords
Nonlinear Partial Differential Problems, Iterative Method, Computational Efficiency, Practical Implementation, Numerical Experiments
Citation
Khadeejah James Audu & Stephen Ameh. (2023). Implementation of New Iterative Method for Solving Nonlinear Partial Differential Problems. Proceedings of International Physical Science Conference (IPSC).