[HTML][HTML] New analytical method based on dynamic response of planar mechanical elastic systems

ML Scutaru, S Vlase, M Marin, A Modrea - Boundary Value Problems, 2020 - Springer
An important stage in an analysis of a multibody system (MBS) with elastic elements by the
finite element method is the assembly of the equations of motion for the whole system. This …

Mathematical modeling of COVID-19 pandemic in India using Caputo-Fabrizio fractional derivative

P Pandey, JF Gómez-Aguilar, MKA Kaabar… - Computers in Biology …, 2022 - Elsevier
The range of effectiveness of the novel corona virus, known as COVID-19, has been
continuously spread worldwide with the severity of associated disease and effective …

Fractional Klein-Gordon-Schrödinger equations with mittag-leffler memory

P Veeresha, DG Prakasha, J Singh, D Kumar… - Chinese Journal of …, 2020 - Elsevier
The main objective of the present investigation is to find the solution for the fractional model
of Klein-Gordon-Schrödinger system with the aid of q-homotopy analysis transform method …

An efficient computational approach for nonlinear variable order fuzzy fractional partial differential equations

P Pandey, J Singh - Computational and Applied Mathematics, 2022 - Springer
This research work employs the Bernstein spectral technique based on Bernstein
polynomials to analyze and to obtain the approximate numerical solution of a class of …

On solution of a class of nonlinear variable order fractional reaction–diffusion equation with Mittag–Leffler kernel

P Pandey, JF Gómez‐Aguilar - Numerical Methods for Partial …, 2021 - Wiley Online Library
In this article, an efficient variable‐order Chebyshev collocation method which is based on
shifted fifth‐kind Chebyshev polynomials is applied to solve a nonlinear variable‐order …

[HTML][HTML] Finite volume element method with the WSGD formula for nonlinear fractional mobile/immobile transport equations

J Zhao, Z Fang, H Li, Y Liu - Advances in Difference Equations, 2020 - Springer
In this article, a finite volume element method with the second-order weighted and shifted
Grünwald difference (WSGD) formula is proposed and studied for nonlinear time fractional …

[HTML][HTML] Two-dimensional nonlinear time fractional reaction–diffusion equation in application to sub-diffusion process of the multicomponent fluid in porous media

P Pandey, S Das, EM Craciun, T Sadowski - Meccanica, 2021 - Springer
In the present article, an efficient operational matrix based on the famous Laguerre
polynomials is applied for the numerical solution of two-dimensional non-linear time …

A new methodology based on finite element method (FEM) for generation of the probability field of rock types from subsurface

S Marzavan, B Sebacher - Arabian Journal of Geosciences, 2021 - Springer
In this paper, we present a novel methodology by employing the finite element method
(FEM) for creating probability fields of rock types (facies) present in a reservoir. The method …

Novel operational matrix method for the numerical solution of nonlinear reaction–advection–diffusion equation of fractional order

M Singh, S Das, Rajeev, SH Ong - Computational and Applied …, 2022 - Springer
In this work, a new scheme has been developed for the numerical solution of the fractional
order reaction–advection–diffusion equation. To approximate the problem the authors have …

Numerical solution of coupled type Fractional order Burgers' equation using finite difference and fibonacci collocation method

M Kashif, KD Dwivedi, T Som - Chinese Journal of Physics, 2022 - Elsevier
In this article a non-standard finite difference collocation method is developed with the help
of Fibonacci polynomial to solve the coupled type fractional order Burgers' equation. To …