M
Moumita Mandal
Researcher at Indian Institute of Technology, Jodhpur
Publications - 17
Citations - 117
Moumita Mandal is an academic researcher from Indian Institute of Technology, Jodhpur. The author has contributed to research in topics: Superconvergence & Legendre polynomials. The author has an hindex of 5, co-authored 16 publications receiving 82 citations. Previous affiliations of Moumita Mandal include Indian Institute of Technology Kharagpur & VIT University.
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Superconvergence of Legendre spectral projection methods for FredholmHammerstein integral equations
TL;DR: It is shown that Legendre multi-Galerkin and multi-collocation methods have order of convergence O(n3r+34) and O( n2r+12), respectively, in uniform norm, where n is the highest degree of Legendre polynomial employed in the approximation and r is the smoothness of the kernel.
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Legendre multi-Galerkin methods for Fredholm integral equations with weakly singular kernel and the corresponding eigenvalue problem
TL;DR: The convergence rates for the approximated solution and iterated solution in weakly singular Fredholm integral equations of the second kind in both L 2 and infinity-norm are obtained.
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Superconvergence results of Legendre spectral projection methods for weakly singular Fredholm–Hammerstein integral equations
TL;DR: The Galerkin method is considered to approximate the solution of Fredholm–Hammerstein integral equations of second kind with weakly singular kernels, using Legendre polynomial bases to prove that for both the algebraic and logarithmic kernels, the Legendre Galerkins method has order of convergence O ( n − r).
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Superconvergence results of Legendre spectral projection methods for Volterra integral equations of second kind
TL;DR: In this paper, the authors proved that the Legendre Galerkin and Legendre collocation methods converge to the exact solution with the order (n − r ) of the optimal solution in the Volterra integral equation with a smooth kernel.
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Superconvergence Results for Weakly Singular Fredholm–Hammerstein Integral Equations
TL;DR: It is shown that multi-Galerkin method has order of convergence for the algebraic kernel, whereas for logarithmic kernel, it converges with the order in uniform norm.