NUMERICAL SOLUTION OF HYPERBOLIC GOURSAT PARTIAL DIFFERENTIAL EQUATIONS WITH HYBRID CENTRAL DIFFERENCE TAYLOR SERIES EXPANSIONS METHOD

Authors

• Ros Fadilah Deraman, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA Cawangan Negeri Sembilan, Kampus Kuala Pilah, 72500 Kula Pilah, MalaysiaFollow
• Mohd Agos Salim Nasir, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA Cawangan Selangor, Kampus Shah Alam, 40450 Shah Alam, MalaysiaFollow
• Rizauddin Saian, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA Cawangan Perlis, Kampus Arau, 02600 Arau, MalaysiaFollow

Abstract

This paper investigates a new method for solving the Goursat partial differential equation (PDE) using a combination of the central finite difference method (FDM) and Taylor series expansion. The study evaluates the effectiveness and accuracy of this new approach, analyzing linear Goursat problems and conducting multiple numerical experiments. The simulation study demonstrates that the suggested approach surpasses the existing method in terms of performance and accuracy. Applying this proposed scheme will minimize the cost, especially for engineers that might apply this model in solving their real-life problems.

Digital Object Identifier (DOI)

10.24191/mjoc.v9i1.26051

Publication Date

4-1-2024

Volume

9

Issue

1

Recommended Citation

Deraman, Ros Fadilah; Nasir, Mohd Agos Salim; and Saian, Rizauddin (2024) "NUMERICAL SOLUTION OF HYPERBOLIC GOURSAT PARTIAL DIFFERENTIAL EQUATIONS WITH HYBRID CENTRAL DIFFERENCE TAYLOR SERIES EXPANSIONS METHOD," Malaysian Journal of Computing (MJoC): Vol. 9: Iss. 1, Article 9.

Available at: https://mjoc.researchcommons.org/journal/vol9/iss1/9