Generalization of Finite Integral Transforms for Treating Nonlinear Problems in Heat Diffusion. Part I: Methodology "Linear Case".

Document Type : Research Studies

Author

Assistant Professor, Applied Mathematics and Physical Sciences Department, Mansoura University, Egypt.

Abstract

A general analytic methodology, based on the finite integr transform, which is capable of resolving diffusion proble described by nonlinear partial differential equations accurate, and rapidly has been introduced previously by several author The method is extended in this work to solve partial differenti. equations with nonseparable and/or nonlinear boundary condition: The analysis and merit of the proposed method is demonstrated a heat diffusion problem of practical interest and the result compared to the exact solution of the conventional fini integral transform method. 

Main Subjects