کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900746 1631719 2018 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical method for Volterra equation with a power-type nonlinearity
ترجمه فارسی عنوان
روش عددی برای معادله ولتررا با غیر خطی قدرت نوع
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
In this work we prove that a family of explicit numerical methods is convergent when applied to a nonlinear Volterra equation with a power-type nonlinearity. In that case the kernel is not of Lipschitz type, therefore the classical analysis cannot be utilized. We indicate several difficulties that arise in the proofs and show how they can be remedied. The tools that we use consist of variations on discreet Gronwall's lemmas and comparison theorems. Additionally, we give an upper bound on the convergence order. We conclude the paper with a construction of a convergent method and apply it for solving some examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 337, 15 November 2018, Pages 452-460
نویسندگان
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