Search Results - "Numerical methods for partial differential equations"

Numerical investigations on COVID ‐19 model through singular and non‐singular fractional operators by Kumar, Sunil, Chauhan, R. P., Momani, Shaher, Hadid, Samir

“…Abstract Nowadays, the complete world is suffering from untreated infectious epidemic disease COVID‐19 due to coronavirus, which is a very dangerous and deadly…”
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A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials by Kumar, Sunil, Kumar, Ranbir, Osman, M. S., Samet, Bessem

“…Epidemiology is the glorious discipline underlying medical research, public health practice, and health care evaluation. Nowadays, research on disease models…”
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Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu by Atangana, Abdon, Gómez‐Aguilar, J. F.

“…In the last decade, theoretical and applied studies were done in order to provide a suitable definition of fractional derivative, which meets all the…”
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A generalized differential quadrature algorithm for simulating magnetohydrodynamic peristaltic flow of blood‐based nanofluid containing magnetite nanoparticles: A physiological application by Ashraf, Muhammad Usman, Qasim, Muhammad, Wakif, Abderrahim, Afridi, Muhammad Idrees, Animasaun, Isaac L.

“…In this article, the peristaltic flow of blood‐based nanofluid is examined numerically by employing the generalized differential quadrature method. The Casson…”
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Generalized differential quadrature scrutinization of an advanced MHD stability problem concerned water‐based nanofluids with metal/metal oxide nanomaterials: A proper application of the revised two‐phase nanofluid model with convective heating and through‐flow boundary conditions by Wakif, Abderrahim, Sehaqui, Rachid

“…The present numerical investigation aimed to disclose the optimum characteristics of the magneto‐convection phenomenon that can be happened for Newtonian…”
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Mathematical model for spreading of COVID-19 virus with the Mittag-Leffler kernel by Logeswari, Kumararaju, Ravichandran, Chokkalingam, Nisar, Kottakkaran Sooppy

“…In the Nidovirales order of the Coronaviridae family, where the coronavirus (crown-like spikes on the surface of the virus) causing severe infections like…”
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A study on fractional host–parasitoid population dynamical model to describe insect species by Kumar, Sunil, Kumar, Ajay, Samet, Bessem, Dutta, Hemen

“…The parasitoid is a broad evolutionary association of hymenopteran insects which are well‐known as biological control agents. Parasites are different from…”
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Microorganisms swimming through radiative Sutterby nanofluid over stretchable cylinder: Hydrodynamic effect by Raza, Rabeeah, Naz, Rahila, Abdelsalam, Sara I.

“…In the present article, radiative Sutterby nanofluid flow over a stretchable cylinder is considered. The suspended swimming microorganisms have been…”
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New discussion on approximate controllability results for fractional Sobolev type Volterra‐Fredholm integro‐differential systems of order 1 < r < 2 by Vijayakumar, V., Ravichandran, Chokkalingam, Nisar, Kottakkaran Sooppy, Kucche, Kishor D.

“…In our article, we are primarily concentrating on approximate controllability results for fractional Sobolev type Volterra‐Fredholm integro‐differential…”
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Emphasis on unsteady dynamics of bioconvective hybrid nanofluid flow over an upward–downward moving rotating disk by Jayadevamurthy, Punith Gowda Ramanahalli, Rangaswamy, Naveen kumar, Prasannakumara, Ballajja Chandrappa, Nisar, Kottakkaran Sooppy

“…Abstract The fluid flow between the rotating disk has wide range of applications and are used in medical equipment's, car brake system, gas turbines,…”
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Effects of radiative heat flux and heat generation on magnetohydodynamics natural convection flow of nanofluid inside a porous triangular cavity with thermal boundary conditions by Nazir, M. Waqas, Javed, Tariq, Ali, Nasir, Nazeer, Mubbashar

“…When the nanoparticles are incorporated into the base fluid, the resultant fluid is known as nanofluid. Nanofluids have higher thermal efficiency as compared…”
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Numerical solutions of the partial differential equations for investigating the significance of partial slip due to lateral velocity and viscous dissipation: The case of blood‐gold Carreau nanofluid and dusty fluid by Koriko, Olubode Kolade, Adegbie, Kolawole S., Shah, Nehad Ali, Animasaun, Isaac L., Olotu, M. Adejoke

“…The dynamics of blood conveying gold nanoparticles (GNPs) are helpful to the health workers while air conveying dust particles over rockets is helpful to space…”
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The reducing rank method to solve third‐order Duffing equation with the homotopy perturbation by He, Ji‐Huan, El‐Dib, Yusry O.

“…In the current work, we apply a nonstandard scheme to solve the third‐order Duffing equation. This equation is produced from the strong damped Klein–Gordon…”
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Numerical simulation of a nonlinear coupled differential system describing a convective flow of Casson gold–blood nanofluid through a stretched rotating rigid disk in the presence of Lorentz forces and nonlinear thermal radiation by Khan, Umair, Bilal, Sardar, Zaib, A., Makinde, O. D., Wakif, Abderrahim

“…Extensive analysis has recently been presented on the applications of nanofluids in heat transfer developments. The primary concern of this work is to…”
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Existence and controllability of nonlocal mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1 < r < 2 by Kavitha Williams, W., Vijayakumar, V., Udhayakumar, R., Panda, Sumati Kumari, Nisar, Kottakkaran Sooppy

“…Abstract In our article, we are primarily concentrating on existence and controllability of nonlocal mixed Volterra‐Fredholm type fractional delay…”
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European option pricing models described by fractional operators with classical and generalized Mittag‐Leffler kernels by Yavuz, Mehmet

“…In this paper, we investigate novel solutions of fractional‐order option pricing models and their fundamental mathematical analyses. The main novelties of the…”
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He's frequency formulation for fractal nonlinear oscillator arising in a microgravity space by Wang, KangLe

“…At a microgravity condition, a spaceflight might be subject to a microgravity‐induced vibration. There is no theory so far to study the effect of microgravity…”
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New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques by Gao, Wei, Veeresha, Pundikala, Prakasha, Doddabhadrappla Gowda, Baskonus, Haci Mehmet

“…The pivotal aim of the present work is to find the numerical solution for fractional Benney–Lin equation by using two efficient methods, called q‐homotopy…”
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Computational investigation of heat transfer in a flow subjected to magnetohydrodynamic of Maxwell nanofluid over a stretched flat sheet with thermal radiation by Mukhtar, Tayyaba, Jamshed, Wasim, Aziz, Asim, Al‐Kouz, Wael

“…The main objective of this paper is to numerically investigate the results of a mathematical model for unsteady magnetohydrodynamics (MHD) boundary layer flow…”
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A study on fractional predator–prey–pathogen model with Mittag–Leffler kernel‐based operators by Ghanbari, Behzad, Kumar, Sunil

“…Abstract This paper aims to present a novel study on the dynamics of a fractional predator–prey–pathogen model to investigate the existence of the chaos in the…”
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