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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Rida, Saad. Z., Arafa, Anas., Hussein, Hussein. S., Mostafa, Marwa, Ameen, Ismail. Gad.. (1405). A novel algorithm based on spectral confluent Appell-Changhee polynomials for solving nonlinear models arising in mathematical physics. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2025.66003.3067
Saad. Z. Rida; Anas. A. M. Arafa; Hussein. S. Hussein; Marwa Mostafa; Ismail. Gad. Ameen. "A novel algorithm based on spectral confluent Appell-Changhee polynomials for solving nonlinear models arising in mathematical physics". سامانه مدیریت نشریات علمی, , , 1405, -. doi: 10.22034/cmde.2025.66003.3067
Rida, Saad. Z., Arafa, Anas., Hussein, Hussein. S., Mostafa, Marwa, Ameen, Ismail. Gad.. (1405). 'A novel algorithm based on spectral confluent Appell-Changhee polynomials for solving nonlinear models arising in mathematical physics', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2025.66003.3067
Rida, Saad. Z., Arafa, Anas., Hussein, Hussein. S., Mostafa, Marwa, Ameen, Ismail. Gad.. A novel algorithm based on spectral confluent Appell-Changhee polynomials for solving nonlinear models arising in mathematical physics. سامانه مدیریت نشریات علمی, 1405; (): -. doi: 10.22034/cmde.2025.66003.3067

A novel algorithm based on spectral confluent Appell-Changhee polynomials for solving nonlinear models arising in mathematical physics

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 18 خرداد 1405    اصل مقاله (1.14 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.66003.3067
نویسندگان
Saad. Z. Rida1؛ Anas. A. M. Arafa2؛ Hussein. S. Hussein1؛ Marwa Mostafa* 1؛ Ismail. Gad. Ameen1
1Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt.
2Department of Mathematics, College of Science, Qassim University, Buraydah, Saudi Arabia.
چکیده
The main objective of this research work is to construct an approximate solution to the fractional Cahn-Allen (CA) problem, the time fractional wave-like (WL) problem and the time fractional Korteweg-de Vries (KdV) problem using Caputo fractional derivative. The proposed method based on the spectral confluent Appell-Changhee collocation algorithm coupled with residual power series (RPS) approach. The error bound of the proposed method are discussed in detail. The simulation results obtained are illustrated in both graphs and tables. The numerical results obtained are compared with other published techniques. The results show that the presented method is efficient, accurate and robust, and thus can be applied to both complex linear and nonlinear problems.
کلیدواژه‌ها
Confluent Changhee polynomials؛ Residual power series approach؛ Cahn-Allen problem؛ Wave-like problem؛ Korteweg-de Vries problem
آمار
تعداد مشاهده مقاله: 57
تعداد دریافت فایل اصل مقاله: 51


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