Search Results - "Rakshit, Gobinda"
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DISCRETE MODIFIED PROJECTION METHODS FOR URYSOHN INTEGRAL EQUATIONS WITH GREEN’S FUNCTION TYPE KERNELS
Published in Mathematical modelling and analysis (13-05-2020)“…In the present paper we consider discrete versions of the modified projection methods for solving a Urysohn integral equation with a kernel of the type of…”
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Discrete modified projection method for Urysohn integral equations with smooth kernels
Published in Applied numerical mathematics (01-04-2018)“…Approximate solutions of linear and nonlinear integral equations using methods related to an interpolatory projection involve many integrals which need to be…”
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Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green's kernels
Published in International journal of computer mathematics (03-08-2022)“…We consider a Urysohn integral operator with the kernel of the type of Green's function. For , a space of piecewise polynomials of degree with respect to a…”
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RBF-based IMEX finite difference schemes for pricing option under liquidity switching
Published in International journal of computer mathematics (02-07-2024)“…In this work, we introduce two accurate and efficient finite difference methods based on radial basis functions (RBF-FD) for pricing European and American…”
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Richardson extrapolation for the discrete iterated modified projection solution
Published in Numerical algorithms (01-09-2020)“…Approximate solutions of Urysohn integral equations using projection methods involve integrals which need to be evaluated using a numerical quadrature formula…”
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Asymptotic error analysis for the discrete iterated Galerkin solution of Urysohn integral equations with Green's kernels
Published 09-01-2023“…Consider a Urysohn integral equation $x - \mathcal{K} (x) = f$, where $f$ and the integral operator $\mathcal{K}$ with kernel of the type of Green's function…”
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Acceleration of convergence in approximate solutions of Urysohn integral equations with Green's kernels
Published 03-09-2024“…Consider a non-linear operator equation $x - K(x) = f$, where $f$ is given and $K$ is a Urysohn integral operator with Green's function type kernel defined on…”
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A note on improvement by iteration for the approximate solutions of second kind Fredholm integral equations with Green's kernels
Published 18-06-2024“…Consider a linear operator equation $x - Kx = f$, where $f$ is given and $K$ is a Fredholm integral operator with a Green's function type kernel defined on…”
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Discrete Modified Projection Methods for Urysohn Integral Equations with Green's Function Type Kernels
Published 23-08-2019“…Mathematical Modelling and Analysis, 25(3):421-440, 2020 In the present paper we consider discrete versions of the modified projection methods for solving a…”
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Richardson extrapolation for the discrete iterated modified projection solution
Published 17-07-2019“…Numerical Algorithms, 2019 Approximate solutions of Urysohn integral equations using projection methods involve integrals which need to be evaluated using a…”
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Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green's kernels
Published 16-12-2020“…International Journal of computer Mathematics, 2021 We consider a Urysohn integral operator $\mathcal{K}$ with kernel of the type of Green's function. For $r…”
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Discrete Modified Projection Method for Urysohn Integral Equations with Smooth Kernels
Published 02-08-2017“…Approximate solutions of linear and nonlinear integral equations using methods related to an interpolatory projection involve many integrals which need to be…”
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