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All Journal AKSIOMA JURNAL PENDIDIKAN MATEMATIKA Journal of Engineering and Technological Sciences NUMERICAL (Jurnal Matematika dan Pendidikan Matematika) Desimal: Jurnal Matematika Limits: Journal of Mathematics and Its Applications Jurnal Cendekia : Jurnal Pendidikan Matematika International Conference on Mathematics and Science Education of Universitas Pendidikan Indonesia ComTech: Computer, Mathematics and Engineering Applications Jurnal Papatung : Jurnal Ilmu Administrasi Publik, Pemerintahan dan Politik Hipotenusa: Journal of Research Mathematics Education (HJRME) Jurnal Siger Matematika Jurnal Matematika Integratif
Asmiati Asmiati
Jurusan Matematika, Fakultas MIPA, Universitas Lampung
Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Immunology & microbiology Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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Journal : Desimal: Jurnal Matematika

 1 
Variational homotopy perturbation method for solving systems of homogeneous linear and nonlinear partial differential equations Atika Faradilla; Aang Nuryaman; Asmiati Asmiati; Dewi Rakhmatia Nur
Desimal: Jurnal Matematika Vol 4, No 2 (2021): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (381.991 KB) | DOI: 10.24042/djm.v4i2.7825

Abstract

The variational homotopy perturbation method is developed by combining variational iteration method and homotopy perturbation method. Variational iteration method has an efficient process in solving a wide variety of equations and systems of equations. Meanwhile, homotopy perturbation method yields a very rapid convergence of the solution series in most cases. The developed method, variational homotopy perturbation method, took full advantage of both methods. In this study, we described an application of the variational homotopy perturbation method to solve systems of homogeneous partial differential equations. Here we consider some initial value problems of homogeneous partial differential equation systems with two and three variables. The results show that the obtained solution using this method was in agreement with the solution using the homotopy analysis method and variational iteration method, which prove the validity of the variational homotopy perturbation method when applied to systems of partial differential equations.
Co-Authors Aang Nuryaman AF Rachman Agus Iriawan Ahmad Ari Aldino Ahmad Ari Aldino Akmal Junaidi Arif Munandar Atika Faradilla Ayu Devita Sari Bagus Hayatul Jihad Bernadhita Herindri S. Utami Budi Koestoro Damelyana Sagita Dewi Rakhmatia Nur Doni Sabroni H Bharata Ita Prihantika Kurnia Muludi La Zakaria Muhammad Ihsan Abyan Muslim Anshori Notiragayu Notiragayu Notiragayu Notiragayu Nurwahid Juli Andrean Rahayu Sulistiowati Saiful Rohman Siti Rahmatalia Soleh Fajar Junjunan Sri Hastuti Sri Hastuti Noer Sugeng Sutiarso Suryatul Aini Asyhara Tina Yuniarti