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Design of an efficient algorithm for solution of Bratu differential equations
(Ain Shams University, 2021)
In this research, we have suggested a combined strategy to calculate and determine the solutions for problems originating in combustion theory and heat transfer, that are known as Bratu differential equations. We aim to ...
Impact of activation energy on hyperbolic tangent nanofluid with mixed convection rheology and entropy optimization
(Elsevier B.V., 2021)
The present work numerically examines the entropy generation in the transport of hyperbolic tangent nanofluid over a stretchable surface with nonlinear Boussinesq approximation. Impacts of viscous dissipation, Joule heating, ...
Analytical solution of non-linear fractional order Swift-Hohenberg equations
(Ain Shams University, 2021)
In this paper, we find approximate analytical solutions to fractional order “Swift-Hohenberg equations” by using Laplace Adomian decomposition method (LADM). With the help of the this method, we investigate various types ...
Radiative mixed convection flow of Maxwell nanofluid over a stretching cylinder with joule heating and heat source/sink effects
(Nature Research, 2020)
This work analyses thermal effect for a mixed convection flow of Maxwell nanofluid spinning motion produced by rotating and bidirectional stretching cylinder. Impacts of Joule heating and internal heat source/sink are also ...
Numerical investigation for rotating flow of MHD hybrid nanofluid with thermal radiation over a stretching sheet
(Nature Research, 2020)
This research investigates the heat and mass transfer in 3-D MHD radiative flow of water based hybrid nanofluid over an extending sheet by employing the strength of numerical computing based Lobatto IIIA method. Nanoparticles ...
Existence theory and semi-analytical study of non-linear Volterra fractional integro-differential equations
(Elsevier B.V., 2020)
In this article, we investigate the semi-analytic solutions of non-linear Volterra fractional integro-differential equations by using Laplace Adomian decomposition method. We discuss the method in general and provide ...
Existence of fractional order semi analytical results for enzyme kinetics model
(Springer, 2020)
This research work investigates the existence of semianalytical solutions of a chemical kinematics model. We develop the conditions for the existence of the solutions for a proposed enzyme kinetics model, via tools of the ...
Qualitative analysis of nonlinear coupled pantograph differential equations of fractional order with integral boundary conditions
(Springer, 2020)
In this research article, we develop a qualitative analysis to a class of nonlinear coupled system of fractional delay differential equations (FDDEs). Under the integral boundary conditions, existence and uniqueness for ...
Dynamical analysis of fractional-order tobacco smoking model containing snuffing class
(Elsevier, 2021)
The current pandemic situation caused by COVID-19 has affected human life globally at the economic, social and mental health levels. Specifically, tension has led an increasing number of people to the consumption ...
Computation of solution to fractional order partial reaction diffusion equations
(Elsevier B.V., 2020)
In this article, the considered problem of Cauchy reaction diffusion equation of fractional order is solved by using integral transform of Laplace coupled with decomposition technique due to Adomian scheme. This combination ...