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Technical report: numerical solution of nonlocal partial differential equation using Bernstein polynomial method / Anis Farhanah Mohd Padang and Nurhazirah Mohd Puzi

This research discusses about numerical method for solving one-dimensional parabolic partial differential equation (heat equation) subject to non-classical conditions based on Bernstein polynomial method with its properties. Some continuous function with higher even order cannot be solved directly w...

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Main Authors: Mohd Padang, Anis Farhanah, Mohd Puzi, Nurhazirah
Format: Student Project
Language:English
Published: 2018
Subjects:
Study and teaching
Equations
Analysis
Wavelets (Mathematics)
Online Access:https://ir.uitm.edu.my/id/eprint/110570/1/110570.pdf
https://ir.uitm.edu.my/id/eprint/110570/
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spelling my.uitm.ir.1105702025-02-25T09:30:10Z https://ir.uitm.edu.my/id/eprint/110570/ Technical report: numerical solution of nonlocal partial differential equation using Bernstein polynomial method / Anis Farhanah Mohd Padang and Nurhazirah Mohd Puzi Mohd Padang, Anis Farhanah Mohd Puzi, Nurhazirah Study and teaching Equations Analysis Wavelets (Mathematics) This research discusses about numerical method for solving one-dimensional parabolic partial differential equation (heat equation) subject to non-classical conditions based on Bernstein polynomial method with its properties. Some continuous function with higher even order cannot be solved directly with a common methods such as least square methods, Euler's method, Bisection method and eigenfunction expansion method. Thus, Bernstein polynomial can be used to solve the continuous function at higher even-order due to their special properties. In addition, the heat equation will be solved with different degree of Bernstein polynomials by using MATLAB and the result will be presented through the illustrative graph. 2018 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/110570/1/110570.pdf Technical report: numerical solution of nonlocal partial differential equation using Bernstein polynomial method / Anis Farhanah Mohd Padang and Nurhazirah Mohd Puzi. (2018) [Student Project] <http://terminalib.uitm.edu.my/110570.pdf> (Unpublished)
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Study and teaching
Equations
Analysis
Wavelets (Mathematics)
spellingShingle Study and teaching
Equations
Analysis
Wavelets (Mathematics)
Mohd Padang, Anis Farhanah
Mohd Puzi, Nurhazirah
Technical report: numerical solution of nonlocal partial differential equation using Bernstein polynomial method / Anis Farhanah Mohd Padang and Nurhazirah Mohd Puzi
description This research discusses about numerical method for solving one-dimensional parabolic partial differential equation (heat equation) subject to non-classical conditions based on Bernstein polynomial method with its properties. Some continuous function with higher even order cannot be solved directly with a common methods such as least square methods, Euler's method, Bisection method and eigenfunction expansion method. Thus, Bernstein polynomial can be used to solve the continuous function at higher even-order due to their special properties. In addition, the heat equation will be solved with different degree of Bernstein polynomials by using MATLAB and the result will be presented through the illustrative graph.
format Student Project
author Mohd Padang, Anis Farhanah
Mohd Puzi, Nurhazirah
author_facet Mohd Padang, Anis Farhanah
Mohd Puzi, Nurhazirah
author_sort Mohd Padang, Anis Farhanah
title Technical report: numerical solution of nonlocal partial differential equation using Bernstein polynomial method / Anis Farhanah Mohd Padang and Nurhazirah Mohd Puzi
title_short Technical report: numerical solution of nonlocal partial differential equation using Bernstein polynomial method / Anis Farhanah Mohd Padang and Nurhazirah Mohd Puzi
title_full Technical report: numerical solution of nonlocal partial differential equation using Bernstein polynomial method / Anis Farhanah Mohd Padang and Nurhazirah Mohd Puzi
title_fullStr Technical report: numerical solution of nonlocal partial differential equation using Bernstein polynomial method / Anis Farhanah Mohd Padang and Nurhazirah Mohd Puzi
title_full_unstemmed Technical report: numerical solution of nonlocal partial differential equation using Bernstein polynomial method / Anis Farhanah Mohd Padang and Nurhazirah Mohd Puzi
title_sort technical report: numerical solution of nonlocal partial differential equation using bernstein polynomial method / anis farhanah mohd padang and nurhazirah mohd puzi
publishDate 2018
url https://ir.uitm.edu.my/id/eprint/110570/1/110570.pdf
https://ir.uitm.edu.my/id/eprint/110570/
_version_ 1825165202979553280
score 13.239859

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