Solving one dimensional Bratu Type Equation using Runge-Kutta Technique and Adomian Decomposition Technique / Nur Asyikin Hashimi, Nur Izzati Abd Jamal Nasir and Nik Puteri Zakirah Nik Othman

Hashimi, Nur Asyikin and Abd Jamal, Nur Izzati and Nik Othman, Nik Puteri Zakirah (2019) Solving one dimensional Bratu Type Equation using Runge-Kutta Technique and Adomian Decomposition Technique / Nur Asyikin Hashimi, Nur Izzati Abd Jamal Nasir and Nik Puteri Zakirah Nik Othman. [Student Project] (Unpublished)

Abstract

The research aims to determine the effective numerical solution of Bratu equation.
Rather than calculated the exact solution, it has been solving numerically by using Runge¬ Kutta Method and Adomian Decomposition Method. Parametric study of vary lambda (,l) and step size h was conducted and had been observed. However, boundary value problem of Bratu equation is then fixed from O to 1. Hence, these two numerical techniques are then compared with the exact solution. The least absolute error significantly defines the highest accuracy.

Metadata

Item Type:	Student Project
Creators:	Creators Email / ID Num. Hashimi, Nur Asyikin UNSPECIFIED Abd Jamal, Nur Izzati UNSPECIFIED Nik Othman, Nik Puteri Zakirah UNSPECIFIED
Subjects:	Q Science > QA Mathematics > Equations Q Science > QA Mathematics > Mathematical statistics. Probabilities Q Science > QA Mathematics > Analysis > Differential equations. Runge-Kutta formulas Q Science > QA Mathematics > Analysis > Analytical methods used in the solution of physical problems
Divisions:	Universiti Teknologi MARA, Negeri Sembilan > Seremban Campus > Faculty of Computer and Mathematical Sciences
Programme:	Bachelor of Science (Hons.) Mathematics
Keywords:	Solving one dimensional, Bratu Type Equation, Runge-Kutta Technique, Adomian Decomposition Technique
Date:	2019
URI:	https://ir.uitm.edu.my/id/eprint/39460