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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.
P. Kumaravel,K. Venkatesh Raja,P. Suresh 한양대학교 청정에너지연구소 2023 Journal of Ceramic Processing Research Vol.24 No.3
Present research uses SiC, TiO2 and Ni-Gr nanoparticles as supplementary additions to enhance overall machining, andmechanical characteristics of derived LM26 aluminium matrix composites. The bottom pouring type stir casting techniquewith the two-step feeding method is employed for the development of proposed Composites. Tensile, micro hardness, andimpact strength as well as metal removal rate (MRR), Tool wear rate (TWR) of electric discharge machining (EDM) wereevaluated to determine the optimal nanoparticle combination that exhibits the best attributes. Results reveal that secondaryreinforcements improve the mechanical performance of the samples significantly. At the same HAMC5 exhibits bettermechanical, and machining performance and reasonable particle distribution. HAMC5 exhibits 35% higher tensile strength,impact and hardness about 88.3 BHN and 53.8 Joules respectively, which is higher than neat samples.