کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641496 1341310 2010 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A variable step implicit block multistep method for solving first-order ODEs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A variable step implicit block multistep method for solving first-order ODEs
چکیده انگلیسی

A new four-point implicit block multistep method is developed for solving systems of first-order ordinary differential equations with variable step size. The method computes the numerical solution at four equally spaced points simultaneously. The stability of the proposed method is investigated. The Gauss–Seidel approach is used for the implementation of the proposed method in the PE(CE)mPE(CE)m mode. The method is presented in a simple form of Adams type and all coefficients are stored in the code in order to avoid the calculation of divided difference and integration coefficients. Numerical examples are given to illustrate the efficiency of the proposed method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 233, Issue 9, 1 March 2010, Pages 2387–2394
نویسندگان
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