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作者:S. G. Venkatesh , S. K. Ayyaswamy , S. Raja Balachandar
来源:[J].Proceedings of the National Academy of Sciences, India Section A: Physical Sciences(IF 0.171), 2017, Vol.87 (2), pp.257-266Springer
摘要:In this paper, we study the solution of the Burgers’ equation, a non-linear Partial Differential equation, using Legendre wavelets based technique. Burgers’ equation is an essential partial differential equation from fluid mechanics and is also used extensively in other area...
作者:S. Raja Balachandar , K. Kannan
来源:[J].Journal of Applied Mathematics(IF 0.834), 2011, Vol.2011DOAJ
摘要:This paper presents a 1-opt heuristic approach to solve resource allocation/reallocation problem which is known as 0/1 multichoice multidimensional knapsack problem (MMKP). The intercept matrix of the constraints is employed to find optimal or near-optimal solution of the MM...
作者:S. Raja Balachandar , K. Krishnaveni ...
来源:[J].National Academy Science Letters(IF 0.067), 2019, Vol.42 (1), pp.51-57Springer
摘要:Abstract(#br)A new hybrid method based on fractional order shifted Legendre polynomials is constructed in the present study to obtain the analytical solution of a fractional gas dynamics equation. The theoretical analysis such as convergence analysis and error bound for the propo...
作者:D. Venkatesan , K. Kannan , S. Raja Balachandar
来源:[J].National Academy Science Letters(IF 0.067), 2016, Vol.39 (3), pp.207-211Springer
摘要:Abstract(#br)In this paper, a New Genetic Algorithm (NGA) based on centre of mass local search selection operator is presented for solving one of the intractable time-dependent problem which is Highway Bidding Problem, and aims at finding the minimum time dependent cost to constr...
作者:S. Raja Balachandar , S. K. Ayyaswamy
来源:[J].Journal of Mathematical Chemistry(IF 1.226), 2016, Vol.54 (5), pp.1072-1082Springer
摘要:Abstract(#br)In this paper, the Legendre wavelet method for solving a model for HIV infection of \(\hbox {CD}4^{+}\,\hbox {T}\) -cells is studied. The properties of Legendre wavelets and its operational matrices are first presented and then are used to convert into algebraic equa...
作者:S.G. Venkatesh , S.K. Ayyaswamy , S. Raja Balachandar
来源:[J].Computers and Mathematics with Applications(IF 2.069), 2012, Vol.63 (8), pp.1287-1295Elsevier
摘要:Abstract(#br)The aim of this work is to study the Legendre wavelets for the solution of initial value problems of Bratu-type, which is widely applicable in fuel ignition of the combustion theory and heat transfer. The properties of Legendre wavelets together with the Gaussian int...
作者:S. Raja Balachandar , K. Kannan
来源:[J].Applied Mathematics and Computation(IF 1.349), 2007, Vol.192 (2), pp.413-421Elsevier
摘要:Abstract(#br)This paper presents a new heuristic method called randomized gravitational emulation search (RGES) algorithm for solving symmetric traveling salesman problems (STSP). This algorithm is found upon introducing randomization concept along with the two of the four p...
作者:S. Raja Balachandar , K. Kannan
来源:[J].Applied Mathematics and Computation(IF 1.349), 2007, Vol.202 (1), pp.71-77Elsevier
摘要:Abstract(#br)This paper presents a heuristic to solve the 0–1 multi-constrained knapsack problem (01MKP) which is NP-hard. In this heuristic the dominance property of the constraints is exploited to reduce the search space to find near optimal solutions of 01MKP. This heuris...

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