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The method of lines for parabolic integro-differential equations | ||
| Journal of Mathematical Modeling | ||
| مقاله 12، دوره 8، شماره 3، شهریور 2020، صفحه 291-308 اصل مقاله (397.6 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2020.15954.1397 | ||
| نویسندگان | ||
| Samaneh Soradi Zeid* 1؛ Mehdi Mesrizadeh2 | ||
| 1Faculty of Industry and Mining (Khash), University of Sistan and Baluchestan, Zahedan, Iran | ||
| 2Department of Mathematics, Imam Khomeini International University, Qazvin, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Parabolic integro-differential equation؛ partial differential equation؛ meshless method؛ radial point interpolation technique؛ group preserving scheme | ||
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