Swati Yadav

Scopus Publications

A Direct Construction of Solitary Waves for a Fractional Korteweg–de Vries Equation With an Inhomogeneous Symbol
Swati Yadav, Jun Xue
Asymptotic Analysis, 2026
We construct solitary waves for the fractional Korteweg–de Vries (fKdV) type equation: u t + ( Λ − s u + u 2 ) x = 0 , where Λ − s denotes the Bessel potential operator ( 1 + | D | 2 ) − s / 2 for s ∈ ( 0 , ∞ ) . The approach is to parameterize the known periodic solution curves through the relative wave height. Using a priori estimates, we show that the periodic waves locally uniformly converge to waves with negative tails, which are transformed to the desired branch of solutions. The obtained branch reaches a highest wave, the behavior of which varies with s . The work is a generalization of recent work by Ehrnström–Nik–Walker, and is, as far as we know, the first simultaneous construction of small, intermediate, and highest solitary waves for the complete family of (inhomogeneous) fKdV equations with negative-order dispersive operators. The obtained waves display exponential decay rate as | x | → ∞ .
A numerical approximation for generalized fractional Sturm–Liouville problem with application
Eti Goel, Rajesh K. Pandey, S. Yadav, Om P. Agrawal
Mathematics and Computers in Simulation, 2023
Adaptive fractional masks and super resolution based approach for image enhancement
Anil K. Shukla, Rajesh K. Pandey, Swati Yadav
Multimedia Tools and Applications, 2021
Variational Approach for Tempered Fractional Sturm–Liouville Problem
Prashant K. Pandey, Rajesh K. Pandey, Swati Yadav, Om P. Agrawal
International Journal of Applied and Computational Mathematics, 2021
Numerical approximation of tempered fractional Sturm-Liouville problem with application in fractional diffusion equation
Swati Yadav, Rajesh K. Pandey, Prashant K. Pandey
International Journal for Numerical Methods in Fluids, 2021
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, Rajesh K. Pandey
Chaos Solitons and Fractals, 2020
Generalized Fractional Filter-Based Algorithm for Image Denoising
Anil K. Shukla, Rajesh K. Pandey, Swati Yadav, Ram Bilas Pachori
Circuits Systems and Signal Processing, 2020
Finite difference scheme for a fractional telegraph equation with generalized fractional derivative terms
Kamlesh Kumar, Rajesh K. Pandey, Swati Yadav
Physica A Statistical Mechanics and Its Applications, 2019
High-order approximation for generalized fractional derivative and its application
Swati Yadav, Rajesh K. Pandey, Anil K. Shukla, Kamlesh Kumar
International Journal of Numerical Methods for Heat and Fluid Flow, 2019
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, Anil K. Shukla
Chaos Solitons and Fractals, 2019

Swati Yadav

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Scopus Publications