Some Applications of Homotopy Perturbation Method

Sahoo, Malika (2015) Some Applications of Homotopy Perturbation Method. MSc thesis.



In this thesis paper, I review the basic idea of Homotopy perturbation method (HPM), Modified Homotopy perturbation method (MHPM) and Homotopy perturbation transform method (HPTM). Then apply these on some higher order non-linear problems.Further, I tried to compare the results obtained from Modified homotopy perturbation method with HPM using the Sine-Gordon and fractional Klein-Gordon equation respectively. Homotopy perturbation transform method is the coupling of homotopy perturbation and Laplace transform method. Lastly, I applied the homotopy perturbation and homotopy perturbation transform method for solving linear and non-linear Schrödinger equations

Item Type:Thesis ( MSc)
Uncontrolled Keywords:Homotopy perturbation method, modified homotopy perturbation method, homotopy perturbation transform method, Sine-Gordon equation, Klein-Gordon equation, fractional Klein-Gordon equation, Linear and Nonlinear Schrödinger equations and He’s Polynomial
Subjects:Mathematics and Statistics > Applied Mathematics
Divisions: Sciences > Department of Mathematics
ID Code:7072
Deposited By:Mr. Sanat Kumar Behera
Deposited On:23 Feb 2016 14:04
Last Modified:23 Feb 2016 14:04
Supervisor(s):Ojha, B K

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