استفاده از توابع کلاهی اصلاح شده برای حل معادلات انتگرال کوادراتور غیر خطی

Iranian Journal of Numerical Analysis and Optimization

Article 3, Volume 6, Issue 2 - Serial Number 10, January 0, Pages 65-84   

Document Type: Research Article

DOI: 10.22067/ijnao.v6i2.46565

Abstract

این مقاله یک روش عددی برای حل معادلات انتگرال کوادراتور غیرخطی ارائه می دهد. این روش بر مبنای توابع کلاهی اصلاح شده و ماتریس عملیاتی آنها می باشد. با استفاده از این روش و نقاط هم محلی حل معادلات انتگرال کوادراتور غیرخطی به حل یک دستگاه معادلات جبری غیر خطی کاهش می یابد. روش ارائه شده برای بدست آوردن ضرایب ثابت به انتگرال گیری نیاز ندارد. از اینرو، می توان به عنوان یک تکنیک ساده و سریع مورد استفاده قرار بگیرد. تجزیه و تحلیل همگرایی و قضایای مربوط به آن مورد بررسی قرار گرفته است. با چند مثال عددی کارایی و دقت روش ارائه شده، نشان داده شده است.

Keywords

توابع کلاهی اصلاح شده; معادلات انتگرال کوادراتور غیرخطی; فرم برداری; ماتریس عملیاتی; تجزیه و تحلیل خطا

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