کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
483436 701292 2015 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Legendre wavelet operational matrix method for solution of fractional order Riccati differential equation
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Legendre wavelet operational matrix method for solution of fractional order Riccati differential equation
چکیده انگلیسی

A Legendre wavelet operational matrix method (LWM) presented for the solution of nonlinear fractional order Riccati differential equations, having variety of applications in engineering and applied science. The fractional order Riccati differential equations converted into a system of algebraic equations using Legendre wavelet operational matrix. Solutions given by the proposed scheme are more accurate and reliable and they are compared with recently developed numerical, analytical and stochastic approaches. Comparison shows that the proposed LWM approach has a greater performance and less computational effort for getting accurate solutions. Further existence and uniqueness of the proposed problem are given and moreover the condition of convergence is verified.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Egyptian Mathematical Society - Volume 23, Issue 2, July 2015, Pages 263–270
نویسندگان
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