Two reliable approaches involving Haar wavelet method and Optimal Homotopy Asymptotic method for the solution of fractional Fisher type equation

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Ray, Santanu Saha^1

National Institute of Technology Rourkela, Department of Mathematics, Rourkela, Orissa

769008, India^1

关键词: Approximate solution;    Efficient numerical method;    Exact solution;    Fractional-order partial differential equations;    Haar wavelets;    Nonlinear problems;    Numerical solution;    Optimal homotopy asymptotic methods;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012131/pdf
DOI  :  10.1088/1742-6596/574/1/012131

来源: IOP

【 摘 要 】

In this article, two reliable techniques, Haar wavelet method and optimal homotopy asymptotic method (OHAM) are presented. Haar wavelet method is an efficient numerical method for the numerical solution of fractional order partial differential equation like Fisher type. The approximate solutions of the fractional Fisher type equation are compared with the optimal homotopy asymptotic method as well as with the exact solutions. Comparisons between the obtained solutions with the exact solutions exhibit that both the featured methods are effective and efficient in solving nonlinear problems. However, the results indicate that OHAM provides more accurate value than Haar wavelet method.