V
Vivek Kumar
Researcher at Delhi Technological University
Publications - 63
Citations - 502
Vivek Kumar is an academic researcher from Delhi Technological University. The author has contributed to research in topics: Banach space & Singular perturbation. The author has an hindex of 13, co-authored 58 publications receiving 410 citations. Previous affiliations of Vivek Kumar include Tata Institute of Fundamental Research & Birla Institute of Technology and Science.
Papers
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B-spline method for a class of singular two-point boundary value problems using optimal grid
Mohan K. Kadalbajoo,Vivek Kumar +1 more
TL;DR: B-spline method for solving singular two-point boundary value problems for a certain differential equation having singular coefficients and error estimates are obtained which enable a deferred correction to be made.
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Stability analysis of predator–prey system with migrating prey and disease infection in both species
Shashi Kant,Vivek Kumar +1 more
TL;DR: A predator–prey system with migrating prey and disease infection in both species and the dynamics of the system such as existence of non negative equilibria, their stability are analyzed.
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Analytical and numerical treatment of Jungck-type iterative schemes
TL;DR: A new and general Jungck-type iterative scheme for a pair of nonself mappings is introduced and its strong convergence, stability and data dependence is exhibited.
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An adaptive mesh strategy for singularly perturbed convection diffusion problems
Vivek Kumar,Balaji Srinivasan +1 more
TL;DR: In this paper, a new adaptive mesh strategy has been developed for solving convection dominated, convection-diffusion singularly perturbed problems (SPP) using second order central difference schemes.
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Cubic spline adaptive wavelet scheme to solve singularly perturbed reaction diffusion problems
Vivek Kumar,Mani Mehra +1 more
TL;DR: The collocation method proposed by Cai and Wang1 has been reviewed in detail to solve singularly perturbed reaction diffusion equation of elliptic and parabolic types based on an interpolating wavelet transform using cubic spline on dyadic points.