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An improvised technique of quintic Hermite splines to discretize generalized Burger Huxley type equations | ||
Iranian Journal of Numerical Analysis and Optimization | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 16 اردیبهشت 1401 | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22067/ijnao.2022.75871.1120 | ||
نویسندگان | ||
Inderpreet Kaur1؛ Shelly Arora ![]() | ||
1Chitkara University Institute of Engineering and Technology, Department of Applied Sciences, Chitkara University, Patiala, Punjab, INDIA | ||
2Department of Mathematics, Punjabi University, Patiala, Punjab-147002, INDIA | ||
چکیده | ||
A mathematical collocation solution for generalized Burgers-Huxley and generalized Burger Fisher equation has been monitored using the weighted residual method with Hermite splines. In the space direction, quintic Hermite splines are introduced, while the time direction is discretized using a finite difference approach. The technique is determined to be unconditionally stable, with order ($h^{4}+\triangle t$) convergence. The technique's efficacy is tested using nonlinear partial differential equations. Two problems of the generalized Burger Huxley and Burger Fisher equation have been solved using a finite difference scheme as well as the quintic Hermite collocation method (FDQHCM) with varying impacts. The FDQHCM computer codes are written in MATLAB without transforming the nonlinear term to a linear term. The numerical findings are reported in weighted norms and in discrete form. To assess the technique's applicability, numerical and exact values are compared, and a reasonably good agreement is recognized between the two. | ||
کلیدواژهها | ||
Quintic Hermite splines؛ Forward finite difference scheme؛ collocation method؛ stability analysis | ||
آمار تعداد مشاهده مقاله: 52 |