Legendre Wavelet Operational Matrix Method for Solution of Riccati Differential Equation. (23rd June 2014)

• Record Type: Journal Article
• Authors: Balaji, S.
• Other Names: Jebelean Petru Academic Editor.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 2014(2014)
• Publication Date: 2014-06-23
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/2014/304745
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : A Legendre wavelet operational matrix method (LWM) is presented for the solution of nonlinear fractional-order Riccati differential equations, having variety of applications in quantum chemistry and quantum mechanics. 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.