Numerical method for singularly perturbed fourth order ordinary differential equations of convection-diffusion type
محل انتشار: مجله مدلسازی ریاضی، دوره: 4، شماره: 1
سال انتشار: 1395
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 130
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شناسه ملی سند علمی:
JR_JMMO-4-1_005
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
In this paper, we have proposed a numerical method for singularly perturbed fourth order ordinary differential equations of convection-diffusion type. The numerical method combines boundary value technique, asymptotic expansion approximation, shooting method and finite difference method. In order to get a numerical solution for the derivative of the solution, the given interval is divided into two subintervals called inner region (boundary layer region) and outer region. The shooting method is applied to inner region whereas for the outer region, standard finite difference method is applied. Necessary error estimates are derived. Computational efficiency and accuracy are verified through numerical examples.
کلیدواژه ها:
singularly perturbed problems ، fourth order ordinary differential equations ، boundary value technique ، asymptotic expansion approximation ، shooting method ، finite difference scheme ، parallel computation
نویسندگان
Joseph Stalin Christy Roja
St. Joseph&#۰۳۹;s college, Tamilnadu, India
Ayyadurai Tamilselvan
Bharathidasan University, Tamilnadu, India