Search Results - "Khalique, C.M."
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1
Application of Legendre wavelets for solving fractional differential equations
Published in Computers & mathematics with applications (1987) (01-08-2011)“…In this paper, we develop a framework to obtain approximate numerical solutions to ordinary differential equations (ODEs) involving fractional order…”
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2
Combined sinh-cosh-Gordon equation: Symmetry reductions, exact solutions and conservation laws
Published in Quaestiones mathematicae (01-01-2014)“…In this paper we study the combined sinh-cosh-Gordon equation, which arises in mathematical physics and has a wide range of scientific applications that range…”
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3
Electro-osmotic flow of hydromagnetic dusty viscoelastic fluids in a microchannel propagated by peristalsis
Published in Journal of molecular liquids (15-09-2020)“…A theoretical study is carried out to determine the electric and magnetohydrodynamics of a dusty Jeffrey fluid containing small particles propagating through a…”
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4
Three-dimensional flow analysis of Carreau fluid model induced by peristaltic wave in the presence of magnetic field
Published in Journal of molecular liquids (01-09-2017)“…This work investigates the impact of magnetohydrodynamics (MHD) on a non-Newtonian peristaltic flow of Carreau fluid in a uniform duct of rectangular cross…”
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5
A new approach for solving a system of fractional partial differential equations
Published in Computers & mathematics with applications (1987) (01-09-2013)“…In this paper we propose a new method for solving systems of linear and nonlinear fractional partial differential equations. This method is a combination of…”
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6
Numerical analysis of activation energy on MHD nanofluid flow with exponential temperature-dependent viscosity past a porous plate
Published in Journal of thermal analysis and calorimetry (01-02-2021)“…The current investigation scrutinized the incompressible steady flow with temperature-dependent viscosity of magnetohydrodynamics nanofluid through a…”
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7
Dark solitons of the Biswas–Milovic equation by the first integral method
Published in Optik (Stuttgart) (01-10-2013)“…This paper studies the Biswas–Milovic equation that is a generalized version of the familiar nonlinear Schrodinger's equation describing the propagation of…”
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8
Application of the Laplace decomposition method for solving linear and nonlinear fractional diffusion–wave equations
Published in Applied mathematics letters (01-11-2011)“…In this paper, the Laplace decomposition method is employed to obtain approximate analytical solutions of the linear and nonlinear fractional diffusion–wave…”
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9
Exact Solutions for Stokes’ Flow of a Non-Newtonian Nanofluid Model: A Lie Similarity Approach
Published in Zeitschrift für Naturforschung. A, A journal of physical sciences (01-07-2016)“…The fully developed time-dependent flow of an incompressible, thermodynamically compatible non-Newtonian third-grade nanofluid is investigated. The classical…”
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10
Exact solutions of the (2+1 )-dimensional Zakharov–Kuznetsov modified equal width equation using Lie group analysis
Published in Mathematical and computer modelling (01-07-2011)“…This paper obtains the solution of the (2+1)-dimensional Zakharov–Kuznetsov modified equal width equation. The Lie group analysis is used to carry out the…”
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11
Travelling wave solutions of nonlinear evolution equations using the simplest equation method
Published in Computers & mathematics with applications (1987) (01-09-2012)“…In this paper, the simplest equation method has been used for finding the exact solutions of three nonlinear evolution equations, namely the Vakhnenko–Parkes…”
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12
An algorithm for the numerical solution of nonlinear fractional-order Van der Pol oscillator equation
Published in Mathematical and computer modelling (01-03-2012)“…This paper is devoted to the numerical simulation for solving a special class of fractional differential equations. Based on the Grünwald–Letnikov definition…”
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13
Conservation laws of KdV equation with time dependent coefficients
Published in Communications in nonlinear science & numerical simulation (01-08-2011)“…► Conservation laws of the generalized KdV equation of variable coefficients are obtained. ► The equation does not have a Lagrangian hence one cannot use…”
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14
Lie group classification and invariant solutions of mKdV equation with time-dependent coefficients
Published in Communications in nonlinear science & numerical simulation (01-03-2011)“…This paper studies the modified Korteweg–de Vries equation with time variable coefficients of the damping and dispersion using Lie symmetry methods. We carry…”
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15
Group analysis of KdV equation with time dependent coefficients
Published in Applied mathematics and computation (15-08-2010)“…We study the generalized KdV equation having time dependent variable coefficients of the damping and dispersion from the Lie group-theoretic point of view. Lie…”
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16
Fracturing of an Euler–Bernoulli beam in coal mine pillar extraction
Published in International journal of rock mechanics and mining sciences (Oxford, England : 1997) (01-12-2013)“…The paper models the first stage of the process of pillar extraction in a coal mine. The problem of understanding how a coal mine roof collapses after…”
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17
Exact solutions of the Lane–Emden-type equation
Published in New astronomy (01-10-2008)“…We classify the Lane–Emden-type equation xy ″ + ny ′ + x ν f ( y ) = 0 with respect to the standard Lagrangian L = 1 2 x n y ′ 2 - x n + ν - 1 ∫ f ( y ) d y…”
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18
MHD non-Newtonian flow due to non-coaxial rotations of an accelerated disk and a fluid at infinity
Published in Communications in nonlinear science & numerical simulation (01-07-2007)“…The magnetohydrodynamic (MHD) flow due to non-coaxial rotations of a porous disk, moving with uniform acceleration in its own plane and a second grade fluid at…”
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19
The Variational IterationMethod for Finding Exact Solution of Nonlinear Gas Dynamics Equations
Published in Zeitschrift für Naturforschung. A, A journal of physical sciences (01-04-2011)“…The variational iteration method (VIM) proposed by Ji-Huan He is a new analytical method to solve nonlinear equations. In this paper, a modified VIM is…”
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20
Exact solutions of KdV equation with time-dependent coefficients
Published in Applied mathematics and computation (15-07-2010)“…In this paper, we study the Korteweg-de Vries (KdV) equation having time dependent coefficients from the Lie symmetry point of view. We obtain Lie point…”
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