کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7216630 1470213 2017 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A four-step implicit block method with three generalized off-step points for solving fourth order initial value problems directly
ترجمه فارسی عنوان
یک روش بلوک ضمنی چهار مرحله ای با سه قاعده کلی خارج از مرحله برای حل مقادیر اولیه ارزش چهارم به طور مستقیم
کلمات کلیدی
روش بلوک، روش بلوک ترکیبی، معادلات دیفرانسیل معمولی چهارم، همپوشانی و درون یابی، سه مرحله خارج از مرحله،
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی (عمومی)
چکیده انگلیسی
The existing hybrid methods for solving ordinary differential equations were only derived using specific off-step points. Thus, this paper proposes a new four-step block method with three generalized off-step points for solving initial value problems of fourth order ordinary differential equations directly. The strategy employed to develop this method is interpolating the basis function at yn+j,j=0(1)3 and collocating the fourth derivative of the basis function at all points within the selected interval. The implementation of this method in a block-by-block fashion can overcome the setbacks of applying starting values and predictors which are created in predictor-corrector approach. The convergence analysis of the developed method is performed and the accuracy of the method is tested on several problems. The numerical results indicate that the new method outperforms the existing ones in terms of errors. In addition, the new method does not require much computation when compared with previous methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of King Saud University - Science - Volume 29, Issue 4, October 2017, Pages 401-412
نویسندگان
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