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Journal of Mathematical Modeling، جلد ۱۱، شماره ۱، صفحات ۱۳۳-۱۵۶
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| کلیدواژه‌های فارسی مقاله |
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| عنوان انگلیسی |
An LN-stable method to solve the fractional partial integro-differential equations |
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| چکیده انگلیسی مقاله |
In this paper, a class of Volterra fractional partial integro-differential equations (VFPIDEs) with initial conditions is investigated. Here, the well-known method of lines (MOLs) is developed to solve the VFPIDEs. To this end, the VFPIDE is converted into a system of first-order ordinary differential equations (ODEs) in time variable with initial conditions. Then the resulting ODE system is solved by an LN-stable method, such as Radau IIA or Lobatto IIIC. It is proved that the proposed method is LN-stable. Also, the convergence of the proposed method is proved. Finally, some numerical examples are given to illustrate the efficiency and accuracy of the proposed method. |
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| کلیدواژه‌های انگلیسی مقاله |
Volterra fractional partial integro-differential equation, method of lines, LN-stability, Convergence |
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| نویسندگان مقاله |
Fahimeh Ziyaee |
Department of Mathematics, Shahed University, Tehran, Iran
Abolfazl Tari |
Department of Mathematics, Shahed University, Tehran, Iran
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| نشانی اینترنتی |
https://jmm.guilan.ac.ir/article_6128_81cc0b3754c4903f5690e07f77557126.pdf |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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| نوع مقاله منتشر شده |
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