Numerical treatment of fractional order Cauchy reaction diffusion equations

作者：Ali Sajjad; Bushnaq Samia^*; Shah Kamal; Arif Muhammad

来源：Chaos Solitons & Fractals, 2017, 103: 578-587.

DOI：10.1016/j.chaos.2017.07.016

• Optimal homotopy asymptotic method
• Fractional order Cauchy reaction diffusion equations
• Analytical and approximate solution

In this manuscript, an approximate method for the numerical solutions of fractional order Cauchy reaction diffusion equations is considered. The concerned method is known as optimal homotopy asymptotic method (OHAM). With the help of the mentioned method, we handle approximate solutions to the aforesaid equation. Some test problems are provided at which the adapted technique has been applied. The comparison between absolute and exact solution are also provided which reveals that the adapted method is highly accurate. For tabulation and plotting, we use matlab software.

• 出版日期2017-10