Study ritz method for Poisson equation with Dirichlet and Neumann boundary conditions

Lukman Hanafi, Mardlijah, Daryono Budi Utomo

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The mathematical formulation of heat conduction problem along the rod in steady state leads to differential equation namely Poisson equation. The Dirichlet and Neumann boundary conditions are known. In this paper, we study Ritz method as construction of approximation solution based on its extreme formulation. This method applied to Poisson equation with Dirichlet and Neumann boundary conditions by choosing finite basis functions to find approximation solution. From the numerical experiment we obtain good approximation solution.

Original languageEnglish
Title of host publication7th International Conference on Mathematics - Pure, Applied and Computation
Subtitle of host publicationMathematics of Quantum Computing
EditorsMuhammad Syifa�ul Mufid, Dieky Adzkiya
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735442917
DOIs
Publication statusPublished - 19 Dec 2022
Event7th International Conference on Mathematics: Pure, Applied and Computation: , ICoMPAC 2021 - Surabaya, Indonesia
Duration: 2 Oct 2021 → …

Publication series

NameAIP Conference Proceedings
Volume2641
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference7th International Conference on Mathematics: Pure, Applied and Computation: , ICoMPAC 2021
Country/TerritoryIndonesia
CitySurabaya
Period2/10/21 → …

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