The method of lines for parabolic integro-differential equations
محل انتشار: مجله مدلسازی ریاضی، دوره: 8، شماره: 3
سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 94
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شناسه ملی سند علمی:
JR_JMMO-8-3_006
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
This paper introduces an efficient numerical scheme for solving a significant class of nonlinear parabolic integro-differential equations (PIDEs). The major contributions made in this paper are applying a direct approach based on a combination of group preserving scheme (GPS) and spectral meshless radial point interpolation (SMRPI) method to transcribe the partial differential problem under study into a system of ordinary differential equations (ODEs). The resulting problem is then solved by employing the numerical method of lines, which is also a well-developed numerical method. Two numerical experiments are carried out to evaluate the performance and effectiveness of the suggested framework.
کلیدواژه ها:
Parabolic integro-differential equation ، partial differential equation ، meshless method ، radial point interpolation technique ، group preserving scheme
نویسندگان
Samaneh Soradi Zeid
Faculty of Industry and Mining (Khash), University of Sistan and Baluchestan, Zahedan, Iran
Mehdi Mesrizadeh
Department of Mathematics, Imam Khomeini International University, Qazvin, Iran