روش پوچ‌سازی موضعی و برخی مسایل سخت

Subject Areas : International Journal of Industrial Mathematics

A. Abdollahi ¹ , E. Babolian ²

1 - Department of Mathematics, Maragheh Branch, Islamic Azad University, Maragheh, Iran.
2 - Department of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran.

Received: 2018-10-03 Accepted : 2019-04-11 Published : 2020-01-01

Keywords: Residual function, Local annihilation method, Stiff problems, Ill-posed problems,

Abstract :

در این مقاله یک روش عددی جدید برگرفته از روش هم­محلی، برای حل عددی مسایل مقدار اولیه سخت و معادلات انتگرال فردهلم نوع اول مبتنی بر مشتقات تابع مانده ارایه شده است؛ سپس تحلیل خطای این روش عددی با ارایه کران بالا برای خطا مورد بررسی قرار می­گیرد. کارایی این روش با ارایه چندین مثال عددی از مسایل سخت و بدوضع با کارایی روش هم­محلی مقایسه می­شود. نتایج عددی بدست آمده نشان می­دهد که روش ارایه شده در جایی که روش هم­محلی برای حل عددی این نوع مسایل با شکست مواجه می­شود از کارایی بالایی برخوردار است.

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