A Coiflets-Based Wavelet Laplace Method for Solving the Riccati Differential Equations

المؤلف

Wang, Xiaomin

المصدر

Journal of Applied Mathematics

العدد

المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-8، 8ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2014-07-15

دولة النشر

مصر

عدد الصفحات

8

التخصصات الرئيسية

الرياضيات

الملخص EN

A wavelet iterative method based on a numerical integration by using the Coiflets orthogonal wavelets for a nonlinear fractional differential equation is proposed.

With the help of Laplace transform, the fractional differential equation was converted into equivalent integral equation of convolution type.

By using the wavelet approximate scheme of a function, the undesired jump or wiggle phenomenon near the boundary points was avoided and the expansion constants in the approximation of arbitrary nonlinear term of the unknown function can be explicitly expressed in finite terms of the expansion ones of the approximation of the unknown function.

Then a numerical integration method for the convolution is presented.

As an example, an iterative method which can solve the singular nonlinear fractional Riccati equations is proposed.

Numerical results are performed to show the efficiency of the method proposed.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Wang, Xiaomin. 2014. A Coiflets-Based Wavelet Laplace Method for Solving the Riccati Differential Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-457928

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Wang, Xiaomin. A Coiflets-Based Wavelet Laplace Method for Solving the Riccati Differential Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-457928

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Wang, Xiaomin. A Coiflets-Based Wavelet Laplace Method for Solving the Riccati Differential Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-457928

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-457928