Department of Mathematical Science: Recent submissions

Now showing items 81-100 of 151

Solution of time-fractional Cahn–Hilliard equation with reaction term using homotopy analysis method

Tripathi, N.K.; Das, S.; Ong, S.H.; Jafari, H.; Al Qurashi, M.M. (SAGE Publications Inc., 2017-12-01)

In this article, the approximate analytical solution of the time-fractional Cahn–Hilliard equation with quadratic form of the source/sink term is obtained using the powerful homotopy analysis method, which permits us to ...
Numerical solution of fractional order advection-reaction-diffusion equation

Das, S.; Singh, A.; Ong, S.H. (Serbian Society of Heat Transfer Engineers, 2018)

In this paper, the Laplace transform method is used to solve the advection-diffusion equation having source or sink term with initial and boundary conditions. The solution profile of normalized field variable for both ...
Two interfacial collinear Griffith cracks in thermo-elastic composite media

Mishra, P.K.; Das, S. (Serbian Society of Heat Transfer Engineers, 2018)

The objective of the article is to find the stress intensity factors and crack energy for a pair of collinear Griffith cracks situated at the interface of the two orthotropic materials under steady-state temperature field. ...
Keep the conversations going: engagement-based customer segmentation on online social service platforms

Trivedi, N.; Asamoah, D.A.; Doran, D. (Springer New York LLC, 2018-04-01)

Most businesses and organizations develop online services as a value-added offering, which is a significant revenue stream from their existing user base. Such services may be enhanced with social elements to serve as ...
An operational matrix for solving time-fractional order Cahn-Hilliard equation

Pandey, P.; Kumar, S.; Jafari, H.; Das, S. (Serbian Society of Heat Transfer Engineers, 2019)

In the present scientific work, an operational matrix scheme with Laguerre polynomials is applied to solve a space-time fractional order non-linear Cahn-Hilliard equation, which is used to calculate chemical potential and ...
Continuous wavelet transform of schwartz tempered distributions in S'(ℝ n )

Pandey, J.N.; Maurya, J.S.; Upadhyay, S.K.; Srivastava, H.M. (MDPI AG, 2019-02-01)

In this paper, we define a continuous wavelet transform of a Schwartz tempered distribution f ∈ S' (ℝ n ) with wavelet kernel Ψ ∈ S'(ℝ n ) and derive the corresponding wavelet inversion formula interpreting convergence in ...
Characterizations of certain Hankel transform involving Riemann–Liouville fractional derivatives

Upadhyay, S.K.; Khatterwani, K. (Springer Science and Business Media, LLC, 2019-03-01)

In this paper, the relation between two dimensional fractional Fourier transform and fractional Hankel transform is discussed in terms of radial functions. Various operational properties of Hankel transform and fractional ...
Corrigendum to “Peristaltic transport of multilayered power-law fluids with distinct viscosities: A mathematical model for intestinal flows” [Journal of Theoretical Biology 278 (2011) 11–19](S0022519311001299)(10.1016/j.jtbi.2011.02.027)

Pandey, S.K.; Chaube, M.K.; Tripathi, D. (Academic Press, 2019-06-07)

The authors regret that the expressions for non-dimensional pressure [Formula presented] in equation (1) on page number 12 have some typo errors; they should be replaced by [Formula presented] and [Formula presented] ...
Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction–diffusion and Galilei invariant advection–diffusion equations

Kumar, S.; Pandey, P.; Das, S. (Springer Science and Business Media, LLC, 2020-12-01)

In this article, a variable-order operational matrix of Gegenbauer wavelet method based on Gegenbauer wavelet is applied to solve a space–time fractional variable-order non-linear reaction–diffusion equation and non-linear ...
DOUBLE-QUASI-WAVELET NUMERICAL METHOD for the VARIABLE-ORDER TIME FRACTIONAL and RIESZ SPACE FRACTIONAL REACTION-DIFFUSION EQUATION INVOLVING DERIVATIVES in CAPUTO-FABRIZIO SENSE

Kumar, S.; Pandey, P.; Gómez-Aguilar, J.F.; Baleanu, D. (World Scientific, 2020)

Our motive in this scientific contribution is to deal with nonlinear reaction-diffusion equation having both space and time variable order. The fractional derivatives which are used are non-singular having exponential ...
Two-dimensional nonlinear time fractional reaction–diffusion equation in application to sub-diffusion process of the multicomponent fluid in porous media

Pandey, P.; Das, S.; Craciun, E.-M; Sadowski, T. (Springer Science and Business Media B.V., 2020)

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 fractional order reaction–diffusion equation. An ...
Numerical solution of caputo-fabrizio time fractional distributed order reaction-diffusion equation via quasi wavelet based numerical method

Kumar, S.; Gómez-Aguilar, J.F. (Shahid Chamran University of Ahvaz, 2020-09-01)

In this paper, we derive a novel numerical method to find out the numerical solution of fractional partial differential equations (PDEs) involving Caputo-Fabrizio (C-F) fractional derivatives. We first find out the ...
A mathematical model on heat mass transfer including relaxation time for different geometries during drying of foods

Upadhyay, S.; Rai, K.N. (American Society of Mechanical Engineers (ASME), 2020-09)

In this paper, a single phase lag model on heat mass transfer in application of food drying has been developed. The present model is a generalization of the diffusion model. The whole analysis is presented in nondimensional ...
A robust numerical method for a two-parameter singularly perturbed time delay parabolic problem

Sumit; Kumar, S.; Kuldeep; Kumar, M. (Springer, 2020-09-01)

In this article, we consider a class of singularly perturbed two-parameter parabolic partial differential equations with time delay on a rectangular domain. The solution bounds are derived by asymptotic analysis of the ...
Evolution of C1 -wave and its collision with the blast wave in one-dimensional non-ideal gas dynamics

Chaturvedi, R.K.; Gupta, P.; Srivastava, S.K.; Singh, L.P. (Springer, 2020-09-01)

The aim of the present paper is to analyze the collision of discontinuity wave with blast wave in non-ideal gas flow through Lie group approach. The particular solution of the system of quasilinear hyperbolic PDEs, governing ...
A study of fractional order dual-phase-lag bioheat transfer model

Kumar, M.; Rai, K.N.; Rajeev (Elsevier Ltd, 2020-10)

In this study, we have established a space-time fractional DPL bioheat transfer model in the presence of temperature-dependent metabolic and space-time dependent electromagnetic heat sources. Applying the Legendre wavelet ...
Wavelet approximation scheme for distributed order fractional differential equations

Kumar, Y.; Singh, S.; Srivastava, N.; Singh, A.; Singh, V.K. (Elsevier Ltd, 2020-10-15)

This paper is concerned with the study of wavelet approximation scheme based on Legendre and Chebyshev wavelets for finding the approximate solutions of distributed order linear differential equations. The operational ...
Numerical schemes for a class of tempered fractional integro-differential equations

Sultana, F.; Singh, D.; Pandey, R.K.; Zeidan, D. (Elsevier B.V., 2020-11)

For a class of tempered fractional integro-differential equation of the Caputo type, a comparative study of three numerical schemes is presented in this paper. The schemes discussed are Linear, Quadratic and Quadratic-Linear ...
An efficient technique for solving the space-time fractional reaction-diffusion equation in porous media

Pandey, P.; Kumar, S.; Gómez-Aguilar, J.F.; Baleanu, D. (Physical Society of the Republic of China, 2020-12)

In this paper, we obtained the approximate numerical solution of space-time fractional-order reaction-diffusion equation using an efficient technique homotopy perturbation technique using Laplace transform method with ...
2020 Correction to: A study for multi-layer skin burn injuries based on DPL bioheat model (Journal of Thermal Analysis and Calorimetry, (2020), 10.1007/s10973-020-09967-3)

Chaudhary, R.K.; Rai, K.N.; Singh, J. (Springer Netherlands, 2020)

In the original publication of the article, the following equations has been incorrectly published. The corrected equations are given below:(formula presented). © 2020, Akadémiai Kiadó, Budapest, Hungary.

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