STABILITY AND CONVERGENCE FOR NONLINEARPARTIAL DIFFERENTIAL EQUATIONS

Author (s) : Dr.B.MOHANAPRIYA and Dr.C.SENTHIL MURUGAN

---

Abstract :
In this paper,  numerical methods can be powerful tools to produce solutions to partial differential equations with or without known analytic solutions. The resulting numerical solutions may, with luck, produce stable and accurate solutions to the problem in question, or may produce solutions with no resemblance to the problem in question at all. More such numerical computations give no hope of solving this trouble. Some feature and one needs to resort to investing time in a theoretical approach. The numerical methods used to generate computationally the approximate solutions. After deriving theoretical results for a wide class of problems, I use them to validate that my numerical computations produce reliable solutions. The fundamentals of this work are based on mathematical analysis with which the application of analysis to PDEs in a numerical and computational framework was possible

Keywords : Partial differential equations, numerical methods

Conference Date : 30/08/2019

Pages : 164

Paper ID : 19162