Rozali, Muhammad Hasfizul and Zulkiflee, Ahmad Idzham (2019) Numerical solution for Painlevĕ Equations ii by using integral iteratiye method / Muhammad Hasfizul Rozali and Ahmad Idzham Zulkiflee. [Student Project] (Unpublished)
Abstract
Painlevĕ Equations I, II, III, IV, V and VI are solution of nonlinear secondorder ordinary differential equations. However, in solving nonlinear problem by using iteration method as one of the solution, the convergence is difficuIt to achieve. Moreover, the previous method such as Adomian Decomposition Method (ADM), Homotophy Perturbation Method (HPM), Variational Iteration Method (VIM) and SincCollocation with Padĕ used to solve the Painlevĕ Equation also quite difficult and the calculation takes large memory in computer. By focusing on solving Painlevĕ Equation II, Integral Iterative Method (IIM) was used to prove in the solving nonlinear differential equation based on the accuracy, efficiency and reliability.Absolute error was used to determine the accuracy and efficiency of Integral Iterative Method (IIM) by computing difference value of RungeKutta Method (RK4) and Integral Iterative Method (IIM). Then the value of error will be compared with error of RK4 with other methods such as DaftardarGejji and Jafari Method(DJM), Optimai Homotophy Asymptotic Method (OHAM) and SincCollocation.llM is additionally a handy technique in contrast with DJM, OHAM and SincCollocation. The end result is comparable in the direction of DJM. However, IIM are easier to implement as a substitute than DJM. It also show as a dependable approach in fixing Painlevĕ Equation II.
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Item Type:  Student Project  

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Subjects:  Q Science > QA Mathematics > Study and teaching Q Science > QA Mathematics > Mathematical statistics. Probabilities 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  
Item ID:  39141  
Uncontrolled Keywords:  Numerical solution, Painlevĕ Equations ii, integral iteratiye method  
URI:  http://ir.uitm.edu.my/id/eprint/39141 
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