A numerical approach to solve eighth order boundary value problems by Haar wavelet collocation method
محل انتشار: مجله مدلسازی ریاضی، دوره: 5، شماره: 1
سال انتشار: 1396
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 59
فایل این مقاله در 15 صفحه با فرمت PDF قابل دریافت می باشد
- صدور گواهی نمایه سازی
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_JMMO-5-1_006
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
In this paper a robust and accurate algorithm based on Haar wavelet collocation method (HWCM) is proposed for solving eighth order boundary value problems. We used the Haar direct method for calculating multiple integrals of Haar functions. To illustrate the efficiency and accuracy of the concerned method, few examples are considered which arise in the mathematical modeling of fluid dynamics and hydromagnetic stability. Convergence and error bound estimation of the method are discussed. The comparison of results with exact solution and existing numerical methods such as Quintic B-spline collocation method and Galerkin method with Quintic B-splines as basis functions shown that the HWCM is a powerful numerical method for solution of above mentioned problems.
کلیدواژه ها:
نویسندگان
Arikera Padmanabha Reddy
Department of Mathematics, V. S. K. University, Ballari, India
Manjula Harageri
Department of Mathematics, V. S. K. University, Ballari, India
Channaveerapala Sateesha
Department of Mathematics, V. S. K. University, Ballari, India