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Quantum Chemistry

Legendre Wavelet Operational Matrix Method for Solution of Riccati Differential Equation

DOAJ
Authors: S. Balaji

Year

2014

Paper ID

45158

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

105

Citations

6

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.

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

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References & Citation Signals

[1] DOI https://doi.org/10.1155/2014/304745 [2] Publisher http://dx.doi.org/10.1155/2014/304745

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External citation index: OpenAlex citation signal • updated 2026-06-13 20:07:59

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