2022, Vol. 3, Issue 2, Part B
Solving singularity structures in nonlinear ordinary and partial differential equations
Author(s): Eshwari and Dr. Raj Kumar
Abstract: The process of solving ODEs and PDEs that are not linear using singular behavior poses significant challenges in mathematical modeling, scientific computation, and engineering applications. This thesis addresses the development of novel computational methods and mathematical techniques for effectively handling singularity structures in nonlinear ODEs and PDEs, with a focus on both analytical and numerical solutions. The first part of the thesis investigates singularities arising in nonlinear ODEs, particularly in the context of initial value problems. Analytical techniques such as perturbation theory, asymptotic analysis, and singular perturbation methods are employed to study the behavior of solutions near singular points. Theoretical results are complemented by numerical simulations to validate the analytical findings. Then evaluate how well the suggested approaches work.
Pages: 138-143 | Views: 164 | Downloads: 69
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How to cite this article:
Eshwari and Dr. Raj Kumar. Solving singularity structures in nonlinear ordinary and partial differential equations. Journal of Mathematical Problems, Equations and Statistics. 2022; 3(2): 138-143.
