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S. RAJA BALACHANDAR,S.G. VENKATESH,S.K.AYYASWAMY,K. BALASUBRAMANIAN,K. KRISHNAVENI 장전수학회 2019 Proceedings of the Jangjeon mathematical society Vol.22 No.4
In this paper, the Chebyshev wavelets method for solving a model for HIV infection of CD4+ T-cells is studied. The properties of Chebyshev wavelets and their operational matrices are rst presented and then are used to convert into algebraic equations. Also the convergence and error analysis for the proposed technique is discussed. Illustrative examples are given to demonstrate the valid- ity and applicability of the technique. The eciency of the proposed method is compared with other traditional methods and it is observed that the Chebyshev wavelet method is more convenient than the other methods in terms of applica- bility, eciency, accuracy, error and computational eort.
FRACTIONAL POLYNOMIAL METHOD FOR SOLVING INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
K. KRISHNAVENI,S. RAJA BALACHANDAR,S.G. VENKATESH 장전수학회 2016 Proceedings of the Jangjeon mathematical society Vol.19 No.1
This paper presents an efficient fractional shifted Legendre polyno- mial method to solve the fractional integro-differential equations. The fractional derivatives are described based on the Caputo sense by using Riemann-Liouville fractional integral operator. The theoretical analysis such as convergence anal- ysis and error bound for the proposed technique has been demonstrated. Some numerical examples are provided to show that this method is computationally efficient. Finally, the obtained results reveal that the proposed technique is very convenient and quite accurate to solve fractional integro-differential equations.