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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Jurnal Sains Matematika dan Statistika Seminar Nasional Teknologi Informasi Komunikasi dan Industri Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika
Irma Suryani
Universitas Islam Negeri Sultan Syarif Kasim Riau
Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Education Electrical & Electronics Engineering Industrial & Manufacturing Engineering Mathematics

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Journal : JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI

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The solution of nonlinear parabolic equation using variational iteration method wartono wartono; Irma Suryani
Jurnal Matematika, Statistika dan Komputasi Vol. 16 No. 3 (2020): JMSK, MAY, 2020
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (460.46 KB) | DOI: 10.20956/jmsk.v16i3.8468

Abstract

Variational iteration method is a semi analytic solution used to solve   the parabolic differential  equation both of homogen or nonhomogen. In the process of determining an approximation solution, this method did not use a linearization and a small pertubation. In this paper, the variational iteration method is implemented in the parabolic differential equation  in the form of  ut = uxx + f(u) + g(x, t) with appropriate intial condition. Furthermore, some examples of special parabolic differential equations are given to test the reliability and convergence of the method. Based on the result of study shows that the variational iteration method is  able to solve the parabolic differential equation with a good accuration.
Co-Authors Ade Novia Rahma Aprijon Aprijon Febby Ariad Rahmawati Wartono Yusnita Sari