The Richtmyer type nonstandard finite difference scheme for numerical solutions of a nonlinear equation
عنوان مقاله: The Richtmyer type nonstandard finite difference scheme for numerical solutions of a nonlinear equation
شناسه ملی مقاله: FMCBC06_003
منتشر شده در ششمین کنفرانس بین المللی فیزیک، ریاضی و توسعه علوم پایه در سال 1401
شناسه ملی مقاله: FMCBC06_003
منتشر شده در ششمین کنفرانس بین المللی فیزیک، ریاضی و توسعه علوم پایه در سال 1401
مشخصات نویسندگان مقاله:
Farnoosh Izadi - Department of Applied Mathematics, Islamic Azad University, Sowmesara Branch, Sowmesara, Iran
خلاصه مقاله:
Farnoosh Izadi - Department of Applied Mathematics, Islamic Azad University, Sowmesara Branch, Sowmesara, Iran
The Burger‒Huxley equation as a well-known nonlinear physical model is studied numerically in the present paper.In this respect, the nonstandard finite difference (NSFD) scheme in company with the Richtmyer’s (۳, ۱, ۱) implicitformula is formally adopted to accomplish this goal. Moreover, the stability, convergence, and consistency analysesof nonstandard finite difference scheme are investigated systematically. Several case studies with comparisons areprovided, confirming that the current numerical scheme is capable of resulting in highly accurate approximations.
کلمات کلیدی: Burger‒Huxley equation; Nonstandard finite difference scheme; Richtmyer’s (۳, ۱, ۱) implicit formula; Consistency; Convergence; Stability
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1535173/