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Tajadodi, Haleh, Adabitabar firozja, Mohamad. (1401). Numerical solution of Partial Integral-Differential Equations with Weakly Singular Kernel. , (), -. doi: 10.30495/jnrm.2022.67361.2270
Haleh Tajadodi; Mohamad Adabitabar firozja. "Numerical solution of Partial Integral-Differential Equations with Weakly Singular Kernel". , , , 1401, -. doi: 10.30495/jnrm.2022.67361.2270
Tajadodi, Haleh, Adabitabar firozja, Mohamad. (1401). 'Numerical solution of Partial Integral-Differential Equations with Weakly Singular Kernel', , (), pp. -. doi: 10.30495/jnrm.2022.67361.2270
Tajadodi, Haleh, Adabitabar firozja, Mohamad. Numerical solution of Partial Integral-Differential Equations with Weakly Singular Kernel. , 1401; (): -. doi: 10.30495/jnrm.2022.67361.2270

Numerical solution of Partial Integral-Differential Equations with Weakly Singular Kernel

Journal of New Researches in Mathematics
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 آبان 1401  XML
نوع مقاله: research paper
شناسه دیجیتال (DOI): 10.30495/jnrm.2022.67361.2270
نویسندگان
Haleh Tajadodi email 1؛ Mohamad Adabitabar firozja2
1گروه ریاضی، دانشکده ریاضی، آمار و علوم کامپیوتر، دانشگاه سیستان و بلوچستان، زاهدان، ایران
2Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran.
چکیده
In this paper, a numerical method is introduced for solving partial integral-differential equations with weakly singular kernel. The idea of this method is based on the integral operational matrix and the derivative operational matrix of two-dimensional Vita-Lucas polynomials. In the proposed method, first the unknown function and the derivatives in the integral-partial differential equation with weakly singular kernel are approximated using the mentioned polynomials. Then, the studied equation is transformed into a system of algebraic equations using the introduced operational matrices. The approximate solution of the partial integral-differential equations with weakly singular kernel is obtained by solving the obtained system. This method is caused the simplifying of calculations for solving this type of integral equations. Finally, some examples are reported to demonstrate the accuracy and validity of the proposed method that the numerical results show the accuracy of the obtained approximate solution. The advantages of this method is the speed of calculations and accuracy of the results.
کلیدواژه‌ها
Partial integral-differential equations with weakly singular kernel؛ Two-dimensional Vita-Lucas polynomials؛ Integral operational matrix؛ derivative operational matrix
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تعداد مشاهده مقاله: 37


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