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Caspian Journal of Mathematical Sciences، جلد ۱۰، شماره ۲، صفحات ۲۵۴-۲۶۸
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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 |
A Meshless Method for Numerical Solutions of Non-Homogeneous Differential Equation with Variable Delays |
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| چکیده انگلیسی مقاله |
This paper is devoted to solve a class of differential equation with simultaneously combining variable coeffcients and variable delays namely variable-delay di erential equations (VDDEs). For this purpose, a numerical method is proposed in which the unknown function and its derivative are approximated with the basis of interpolating Multiquadric radial basis functions (MQRBFs) at arbitrary collocation points. According to the existing mechanism, the synchronization problem is recast to a system of algebraic equations. In the other hand, the proposed method provides a very adjustable framework for approximation according to the discretization and due to a board range of arbitrary nodes. Finally, some illustrative examples are given to verify the validity and applicability of the new technique and also a comparison betweenour results and the existing studies is performed. |
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| کلیدواژه‌های انگلیسی مقاله |
Radial basis function, Multiquadric function, Collocation method, Variable delay, Variable coeffcients |
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| نویسندگان مقاله |
Samaneh Soradi-Zeid |
Faculty of Industry and Mining (Khash), University of Sistan and Baluchestan, Zahedan, Iran
Fahimeh Akhavan Ghassabzade |
Department of Mathematics, Faculty of Sciences, University of Gonabad, Gonabad, Iran.
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| نشانی اینترنتی |
https://cjms.journals.umz.ac.ir/article_2578_28cd6b60eeb4804d3b77ce022a6f8f12.pdf |
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| کد مقاله (doi) |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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