Rohini Rajaraman

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In this paper, we have applied an efficient wavelet-based approximation method for solving the Fisher’s type and the fractional Fisher’s type equations arising in biological sciences. To the best of our knowledge, until now there is no rigorous wavelet solution has been addressed for the Fisher’s and fractional Fisher’s equations. The highest derivative in(More)
— In this paper, we have applied an accurate and efficient homotopy analysis method (HAM) to find the approximate/analytical solutions for space and time fractional reaction-diffusion equations arising in mathematical chemistry. The method provides solutions in rapid convergence series with computable terms. To the best of our knowledge, until now there is(More)
Routing in mobile ad hoc network is considered a challenging task due to the unpredictable changes in the network topology, resulting from the random and frequent movement of the nodes and due to the absence of any centralized control. Several routing protocols for mobile ad-hoc networks are being proposed. In this paper the performance of two major routing(More)
In this work Homotopy Perturbation transform Method (HPTM) is used for analytical treatment of the Cauchy Reaction-Diffusion equations .This method is the combined form of Homotopy perturbation method and Laplace transform method. The Nonlinear terms can be easily decomposed by use of He's polynomials. This method can provide analytical solutions to the(More)
We are given a network G = (V, A) with a single sink vertex t. Each vertex v in V demands to route d(v) units of flow to the sink. The congestion of a node v, denoted c(v), is the sum of the flow into v and d(v). We consider four classes of flows on such graphs. The first, fractional flows, are flows such that a vertex v may route its demand fractionally(More)
In this paper, an operational matrix of integration based on Haar wavelets (HW) is introduced, and a procedure for applying the matrix to solve space and time fractional telegraph equations is formulated. The space and time fractional derivatives are considered in the Caputo sense. The accuracy and effectiveness of the proposed method is demonstrated by the(More)
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