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

Authors

Bishri Abdel-Hamid, Assistant Professor, Applied Mathematics and Physical Sciences Department, Mansoura University, Egypt.

Corresponding Author

Abdel-Hamid, Bishri

Subject Area

Mathematics and Engineering Physics

Article Type

Original Study

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.

Recommended Citation

Abdel-Hamid, Bishri (2021) "Generalization of Finite Integral Transforms for Treating Nonlinear Problems in Heat Diffusion. Part I: Methodology "Linear Case".," Mansoura Engineering Journal: Vol. 15 : Iss. 1 , Article 19.
Available at: https://doi.org/10.21608/bfemu.2021.170967