Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method
An approximate analytical solution of fractional Fornberg-Whitham equation was obtained with the help of the two-dimensional differential transformation method (DTM). It is indicated that the solutions obtained by the two-dimensional DTM are reliable and present an effective method for strongly nonl...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/965367 |
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| _version_ | 1832550943591235584 |
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| author | Mehmet Merdan Ahmet Gökdogan Ahmet Yıldırım Syed Tauseef Mohyud-Din |
| author_facet | Mehmet Merdan Ahmet Gökdogan Ahmet Yıldırım Syed Tauseef Mohyud-Din |
| author_sort | Mehmet Merdan |
| collection | DOAJ |
| description | An approximate analytical solution of fractional Fornberg-Whitham equation was obtained with the help of the two-dimensional differential transformation method (DTM). It is indicated that the solutions obtained by the two-dimensional DTM are reliable and present an effective method for strongly nonlinear partial equations. Exact solutions can also be obtained from the known forms of the series solutions. |
| format | Article |
| id | doaj-art-e4878fd60a16434f9daf6b544644f5bc |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e4878fd60a16434f9daf6b544644f5bc2025-02-03T06:05:31ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/965367965367Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation MethodMehmet Merdan0Ahmet Gökdogan1Ahmet Yıldırım2Syed Tauseef Mohyud-Din3Department of Mathematics Engineering, Gümüşhane University, 29100 Gümüşhane, TurkeyDepartment of Mathematics Engineering, Gümüşhane University, 29100 Gümüşhane, TurkeyDepartment of Mathematics, Ege University, 35000 İzmir, TurkeyHITEC University, Taxila, Wah Cantt, PakistanAn approximate analytical solution of fractional Fornberg-Whitham equation was obtained with the help of the two-dimensional differential transformation method (DTM). It is indicated that the solutions obtained by the two-dimensional DTM are reliable and present an effective method for strongly nonlinear partial equations. Exact solutions can also be obtained from the known forms of the series solutions.http://dx.doi.org/10.1155/2012/965367 |
| spellingShingle | Mehmet Merdan Ahmet Gökdogan Ahmet Yıldırım Syed Tauseef Mohyud-Din Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method Abstract and Applied Analysis |
| title | Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method |
| title_full | Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method |
| title_fullStr | Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method |
| title_full_unstemmed | Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method |
| title_short | Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method |
| title_sort | numerical simulation of fractional fornberg whitham equation by differential transformation method |
| url | http://dx.doi.org/10.1155/2012/965367 |
| work_keys_str_mv | AT mehmetmerdan numericalsimulationoffractionalfornbergwhithamequationbydifferentialtransformationmethod AT ahmetgokdogan numericalsimulationoffractionalfornbergwhithamequationbydifferentialtransformationmethod AT ahmetyıldırım numericalsimulationoffractionalfornbergwhithamequationbydifferentialtransformationmethod AT syedtauseefmohyuddin numericalsimulationoffractionalfornbergwhithamequationbydifferentialtransformationmethod |