SOLUSI PENDEKATAN PERSAMAAN GELOMBANG FRAKSIONAL NON LINEAR MENGGUNAKAN NEW VERSION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD
Non-linear differential equations with fractional derivative order are mathematical models that are widely used in modeling physical phenomena, one of the applications of these models is non-linear fractional wave equations. Many methods for solving non-linear fractional partial differential equatio...
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Universitas Pattimura
2020-12-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/1787 |
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| author | Faiqul Fikri Eddy Djauhari Endang Rusyaman |
| author_facet | Faiqul Fikri Eddy Djauhari Endang Rusyaman |
| author_sort | Faiqul Fikri |
| collection | DOAJ |
| description | Non-linear differential equations with fractional derivative order are mathematical models that are widely used in modeling physical phenomena, one of the applications of these models is non-linear fractional wave equations. Many methods for solving non-linear fractional partial differential equations, one of which is the New Version of Optimal Homotopy Asymptotic Method which is developed by Liaqat Ali in 2016. The author will use this method to solve non-linear fractional wave equations predetermined, so that the convergence of function of the approximation solution non-linear fractional wave equation can be observed and it can be observed that the function of approximation solution of non-linear fractional wave equation solution using the New Version of Optimal Homotopy Asymptotic Method is simple and has a value error using Mean Absolute Percentage Error which is categorized very well |
| format | Article |
| id | doaj-art-dbb5648b812b4ce4a1f9ee0eaf8b6bb3 |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2020-12-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-dbb5648b812b4ce4a1f9ee0eaf8b6bb32025-08-20T04:00:55ZengUniversitas PattimuraBarekeng1978-72272615-30172020-12-0114452353410.30598/barekengvol14iss4pp523-5341787SOLUSI PENDEKATAN PERSAMAAN GELOMBANG FRAKSIONAL NON LINEAR MENGGUNAKAN NEW VERSION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHODFaiqul Fikri0Eddy Djauhari1Endang Rusyaman2Universitas PadjadjaranUniversitas PadjadjaranUniversitas PadjadjaranNon-linear differential equations with fractional derivative order are mathematical models that are widely used in modeling physical phenomena, one of the applications of these models is non-linear fractional wave equations. Many methods for solving non-linear fractional partial differential equations, one of which is the New Version of Optimal Homotopy Asymptotic Method which is developed by Liaqat Ali in 2016. The author will use this method to solve non-linear fractional wave equations predetermined, so that the convergence of function of the approximation solution non-linear fractional wave equation can be observed and it can be observed that the function of approximation solution of non-linear fractional wave equation solution using the New Version of Optimal Homotopy Asymptotic Method is simple and has a value error using Mean Absolute Percentage Error which is categorized very wellhttps://ojs3.unpatti.ac.id/index.php/barekeng/article/view/1787optimal homotopy asymptotic methodgalatkonvergenpersamaan gelombang fraksional non linear |
| spellingShingle | Faiqul Fikri Eddy Djauhari Endang Rusyaman SOLUSI PENDEKATAN PERSAMAAN GELOMBANG FRAKSIONAL NON LINEAR MENGGUNAKAN NEW VERSION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD Barekeng optimal homotopy asymptotic method galat konvergen persamaan gelombang fraksional non linear |
| title | SOLUSI PENDEKATAN PERSAMAAN GELOMBANG FRAKSIONAL NON LINEAR MENGGUNAKAN NEW VERSION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD |
| title_full | SOLUSI PENDEKATAN PERSAMAAN GELOMBANG FRAKSIONAL NON LINEAR MENGGUNAKAN NEW VERSION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD |
| title_fullStr | SOLUSI PENDEKATAN PERSAMAAN GELOMBANG FRAKSIONAL NON LINEAR MENGGUNAKAN NEW VERSION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD |
| title_full_unstemmed | SOLUSI PENDEKATAN PERSAMAAN GELOMBANG FRAKSIONAL NON LINEAR MENGGUNAKAN NEW VERSION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD |
| title_short | SOLUSI PENDEKATAN PERSAMAAN GELOMBANG FRAKSIONAL NON LINEAR MENGGUNAKAN NEW VERSION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD |
| title_sort | solusi pendekatan persamaan gelombang fraksional non linear menggunakan new version of optimal homotopy asymptotic method |
| topic | optimal homotopy asymptotic method galat konvergen persamaan gelombang fraksional non linear |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/1787 |
| work_keys_str_mv | AT faiqulfikri solusipendekatanpersamaangelombangfraksionalnonlinearmenggunakannewversionofoptimalhomotopyasymptoticmethod AT eddydjauhari solusipendekatanpersamaangelombangfraksionalnonlinearmenggunakannewversionofoptimalhomotopyasymptoticmethod AT endangrusyaman solusipendekatanpersamaangelombangfraksionalnonlinearmenggunakannewversionofoptimalhomotopyasymptoticmethod |