Quintic Non-polynomial Spline Method for Solving the Time Fractional Biharmonic Equation

Authors

Adel R. Hadhoud, Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this paper, we introduce a general framework of the quintic non-polynomial spline method for solving the time fractional biharmonic equation. Applying the concept of Von Neumann, the stability of the method is investigated and it is shown that the proposed technique is unconditionally stable. The effectiveness and the accuracy of the method are illustrated using a test problem.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/130323

Recommended Citation

R. Hadhoud, Adel (2019) "Quintic Non-polynomial Spline Method for Solving the Time Fractional Biharmonic Equation," Applied Mathematics & Information Sciences: Vol. 13: Iss. 3, Article 23.
DOI: http://dx.doi.org/10.18576/amis/130323
Available at: https://digitalcommons.aaru.edu.jo/amis/vol13/iss3/23