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## Approximate Solutions of Singularly Perturbed Nonlinear Ill-posed and Sixth-order Boussinesq Equations with Hybrid Method

#### Derya ARSLAN [1]

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The aim of this paper is to obtain the approximate solution of singularly perturbed ill-posed and sixth-order Bouissnesq equation by hybrid method (differential transform and finite difference method) as a different alternative method. Differential transform method is applied for time variable and the finite difference method (central difference approach) is applied for position variable. Two examples are presented to demonstrate the efficiency and reliability of the hybrid method. Numerical results are given and compared with exact solution and in literature RDTM solution. The numerical data show that hybrid method is a powerful, quite efficient and is practically well suited for solving nonlinear singular perturbed Boussinesq equations.

Sixth-order Boussinesq Equation, Differential Transform Method, Finite Difference Method
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Primary Language en Science Araştırma Makalesi Author: Derya ARSLAN (Primary Author)Institution: MİLLİ EĞİTİM BAKANLIĞICountry: Turkey Publication Date: June 28, 2019
 Bibtex @research article { bitlisfen491847, journal = {Bitlis Eren Üniversitesi Fen Bilimleri Dergisi}, issn = {2147-3129}, eissn = {2147-3188}, address = {Bitlis Eren University}, year = {2019}, volume = {8}, pages = {451 - 458}, doi = {10.17798/bitlisfen.491847}, title = {Approximate Solutions of Singularly Perturbed Nonlinear Ill-posed and Sixth-order Boussinesq Equations with Hybrid Method}, key = {cite}, author = {ARSLAN, Derya} } APA ARSLAN, D . (2019). Approximate Solutions of Singularly Perturbed Nonlinear Ill-posed and Sixth-order Boussinesq Equations with Hybrid Method. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 8 (2), 451-458. DOI: 10.17798/bitlisfen.491847 MLA ARSLAN, D . "Approximate Solutions of Singularly Perturbed Nonlinear Ill-posed and Sixth-order Boussinesq Equations with Hybrid Method". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8 (2019): 451-458 Chicago ARSLAN, D . "Approximate Solutions of Singularly Perturbed Nonlinear Ill-posed and Sixth-order Boussinesq Equations with Hybrid Method". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8 (2019): 451-458 RIS TY - JOUR T1 - Approximate Solutions of Singularly Perturbed Nonlinear Ill-posed and Sixth-order Boussinesq Equations with Hybrid Method AU - Derya ARSLAN Y1 - 2019 PY - 2019 N1 - doi: 10.17798/bitlisfen.491847 DO - 10.17798/bitlisfen.491847 T2 - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 451 EP - 458 VL - 8 IS - 2 SN - 2147-3129-2147-3188 M3 - doi: 10.17798/bitlisfen.491847 UR - https://doi.org/10.17798/bitlisfen.491847 Y2 - 2019 ER - EndNote %0 Bitlis Eren Üniversitesi Fen Bilimleri Dergisi Approximate Solutions of Singularly Perturbed Nonlinear Ill-posed and Sixth-order Boussinesq Equations with Hybrid Method %A Derya ARSLAN %T Approximate Solutions of Singularly Perturbed Nonlinear Ill-posed and Sixth-order Boussinesq Equations with Hybrid Method %D 2019 %J Bitlis Eren Üniversitesi Fen Bilimleri Dergisi %P 2147-3129-2147-3188 %V 8 %N 2 %R doi: 10.17798/bitlisfen.491847 %U 10.17798/bitlisfen.491847 ISNAD ARSLAN, Derya . "Approximate Solutions of Singularly Perturbed Nonlinear Ill-posed and Sixth-order Boussinesq Equations with Hybrid Method". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8 / 2 (June 2019): 451-458. https://doi.org/10.17798/bitlisfen.491847 AMA ARSLAN D . Approximate Solutions of Singularly Perturbed Nonlinear Ill-posed and Sixth-order Boussinesq Equations with Hybrid Method. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2019; 8(2): 451-458. Vancouver ARSLAN D . Approximate Solutions of Singularly Perturbed Nonlinear Ill-posed and Sixth-order Boussinesq Equations with Hybrid Method. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2019; 8(2): 458-451.