Swati Yadav

RESEARCH, TEACHING, or OTHER INTERESTS

Applied Mathematics, Numerical Analysis, Computational Mathematics

Scopus Publications

A numerical approximation for generalized fractional Sturm–Liouville problem with application
Eti Goel, Rajesh K. Pandey, S. Yadav, and Om P. Agrawal
Elsevier BV



Adaptive fractional masks and super resolution based approach for image enhancement
Anil K. Shukla, Rajesh K. Pandey, and Swati Yadav
Springer Science and Business Media LLC



Variational Approach for Tempered Fractional Sturm–Liouville Problem
Prashant K. Pandey, Rajesh K. Pandey, Swati Yadav, and Om P. Agrawal
Springer Science and Business Media LLC



Numerical approximation of tempered fractional Sturm-Liouville problem with application in fractional diffusion equation
Swati Yadav, Rajesh K. Pandey, and Prashant K. Pandey
Wiley
SummaryIn this paper, we discuss the numerical approximation to solve regular tempered fractional Sturm‐Liouville problem (TFSLP) using finite difference method. The tempered fractional differential operators considered here are of Caputo type. The numerically obtained eigenvalues are real, and the corresponding eigenfunctions are orthogonal. The obtained eigenfunctions work as basis functions of weighted Lebesgue integrable function space (a,b). Further, the obtained eigenvalues and corresponding eigenfunctions are used to provide weak solution of the tempered fractional diffusion equation. Approximation and error bounds of the solution of the tempered fractional diffusion equation are provided.


Numerical approximation of fractional burgers equation with Atangana–Baleanu derivative in Caputo sense
Swati Yadav and Rajesh K. Pandey
Elsevier BV



Generalized Fractional Filter-Based Algorithm for Image Denoising
Anil K. Shukla, Rajesh K. Pandey, Swati Yadav, and Ram Bilas Pachori
Springer Science and Business Media LLC



Finite difference scheme for a fractional telegraph equation with generalized fractional derivative terms
Kamlesh Kumar, Rajesh K. Pandey, and Swati Yadav
Elsevier BV



High-order approximation for generalized fractional derivative and its application
Swati Yadav, Rajesh K. Pandey, Anil K. Shukla, and Kamlesh Kumar
Emerald
Purpose This paper aims to present a high-order scheme to approximate generalized derivative of Caputo type for μ ∈ (0,1). The scheme is used to find the numerical solution of generalized fractional advection-diffusion equation define in terms of the generalized derivative. Design/methodology/approach The Taylor expansion and the finite difference method are used for achieving the high order of convergence which is numerically demonstrated. The stability of the scheme is proved with the help of Von Neumann analysis. Findings Generalization of fractional derivatives using scale function and weight function is useful in modeling of many complex phenomena occurring in particle transportation. The numerical scheme provided in this paper enlarges the possibility of solving such problems. Originality/value The Taylor expansion has not been used before for the approximation of generalized derivative. The order of convergence obtained in solving generalized fractional advection-diffusion equation using the proposed scheme is higher than that of the schemes introduced earlier.


Numerical approximations of Atangana–Baleanu Caputo derivative and its application
Swati Yadav, Rajesh K. Pandey, and Anil K. Shukla
Elsevier BV

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