A new method of fundamental solutions for time-dependent non-homogeneous heat source problems

سال انتشار: 1398
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 444

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شناسه ملی سند علمی:

ICNS04_032

تاریخ نمایه سازی: 8 تیر 1398

چکیده مقاله:

We present a method of fundamental solutions for the non-homogeneous diffusion equations with time-dependent heat sources. In the classical method of fundamental solution, rst, the solution of the homogeneous equation is expressed as a combination of the time-dependent fundamental solution and then an approximation of the paricular solution is used to obtain the solution of the main equation. In this work, the solution of the non-homogeneous problem is assumed as a combination of the fundamental solutions of the diffusion operator with time-dependent coefficients. The suggested method is truely meshless and does not use any sort of discretization and nodal connectivities. Some 2-D and 3-D numerical exampls are presented toshow the effectiveness of the new method.

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نویسندگان

Saeed Mohammadi

Department of Mathematics, University of Kurdistan, Sanandaj, Iran.

Kamal Shanazari

Department of Mathematics, University of Kurdistan, Sanandaj, Iran.

Morad Ahmadnasab

Department of Mathematics, University of Kurdistan, Sanandaj, Iran.