scholarly journals Mathematical model of epidemics: Analytical approach to SIRW model using homotopy perturbation method

2020 ◽  
Author(s):  
M. Sivakumar ◽  
R. Senthamarai
Keyword(s):  
Mathematical Model ◽  
Perturbation Method ◽  
Analytical Approach ◽  
Homotopy Perturbation Method ◽  
Homotopy Perturbation

scholarly journals Analytical approach for solving population balances: a homotopy perturbation method

2019 ◽  
Vol 52 (38) ◽  
pp. 385201 ◽  
Author(s):  
Gurmeet Kaur ◽  
Randhir Singh ◽  
Mehakpreet Singh ◽  
Jitendra Kumar ◽  
Themis Matsoukas
Keyword(s):  
Perturbation Method ◽  
Analytical Approach ◽  
Homotopy Perturbation Method ◽  
Homotopy Perturbation ◽  
Population Balances

scholarly journals A Mathematical Model to Solve the Burgers-Huxley Equation by using New Homotopy Perturbation Method

2019 ◽  
Vol 4 (6) ◽  
pp. 1483-1495
Author(s):  
Dinesh Kumar Maurya ◽  
Ravendra Singh ◽  
Yogendra Kumar Rajoria
Keyword(s):  
Differential Equation ◽  
Mathematical Model ◽  
Perturbation Method ◽  
Real World ◽  
Analytical Method ◽  
Homotopy Perturbation Method ◽  
Three Dimension ◽  
Homotopy Perturbation ◽  
Precise Solution ◽  
Huxley Equation

A semi-analytical method has been planned for the precise solution of the differential equation established on the New Homotopy Perturbation Method (NHPM), and to develop a generalized Burger-Huxley (BH) equation, in this paper. By employing NHPM, two case studies show the precise solution of the BH equation. It is shown that the NHPM is yield solution is convergent from with the easy computability term; NHPM is an effective and easy tool for cracking many real world difficulties. The three-dimension and two dimension graphical solutions of the BH equations are also provided to validate the mathematical models. MATLAB software is used to calculate the series obtained from HPM.

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