Numerical study of the nonlinear Cauchy di usion problem and Newell-Whitehead equation via cubic B-spline quasi-interpolation
سال انتشار: 1394
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 353
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شناسه ملی سند علمی:
JR_IJNAO-5-1_005
تاریخ نمایه سازی: 6 شهریور 1396
چکیده مقاله:
In this article, a numerical approximation to the solution of the Newell-Whitehead equation (NWE) and Cauchy problem of ill-posed non-linear diffusion equation have been studied. The presented scheme is obtained by using the derivative of the cubic B-spline quasi-interpolation (BSQI) to approximate the spatial derivative of the dependent variable and first order forward difference to approximate the time derivative of the dependent variable. Some numerical experiments are provided to illustrate the method. The results of numerical experiments are compared with analytical solutions. The main advantage of the scheme is that the algorithm is very simple and very easy to implement.
کلیدواژه ها:
نویسندگان
h Aminikhah
Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran.
j alavi
Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran.