Semi-analytical iterative method for solving Klein-Gordon equation / Afifah Muhidzir, Nor Nazierah Abd Razak and Zakila Amira Hassanuddin

Muhidzir, Afifah and Abd Razak, Nor Nazierah and Hassanuddin, Zakila Amira (2019) Semi-analytical iterative method for solving Klein-Gordon equation / Afifah Muhidzir, Nor Nazierah Abd Razak and Zakila Amira Hassanuddin. [Student Project] (Unpublished)

Abstract

In this paper, the Semi Analytical Iterative Method (SAIM) was applied to generate approximate solutions of the Klein-Gordon equations. Klein-Gordon equation is known as a relativistic wave equation. Various methods have been approached to solve this equation such as Modified Adomian Decomposition Method (MADM), Variation Iterative Method (VIM), Homotopy Perturbation Method (HPM) and many more. The problem is that the convergence of iteration method is very difficult to achieve since the iteration method that is delicate to the initial conditions and the number of unknowns in the differential equation and the calculation seems quite difficult to solve. Comparisons with the exact solutions obtained by MADM, VIM and HPM show the potential of SAIM in solving Klein-Gordon equations. As a result, SAIM is reliable and simple calculation. This method only use direct differentiation method and the results were successfully explained.

Metadata

Item Type: Student Project
Creators:
CreatorsEmail / ID. Num
Muhidzir, AfifahUNSPECIFIED
Abd Razak, Nor NazierahUNSPECIFIED
Hassanuddin, Zakila AmiraUNSPECIFIED
Subjects: Q Science > QA Mathematics > Mathematical statistics. Probabilities
Q Science > QA Mathematics > Analysis
Q Science > QA Mathematics > Analysis > Difference equations. Functional equations. Delay differential equations. Integral equations
Divisions: Universiti Teknologi MARA, Negeri Sembilan > Seremban Campus > Faculty of Computer and Mathematical Sciences
Programme: Bachelor of Science (Hons.) Mathematics
Item ID: 37037
Uncontrolled Keywords: Semi-analytical iterative method, solving Klein-Gordon, equation
URI: http://ir.uitm.edu.my/id/eprint/37037

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