Search Results - "Chawla, M.M."

The outcomes and benefits of hysteroscopic procedures in women with recurrent implantation failure (RIF) after in vitro fertilization (IVF) by Chawla, M.M, Fakih, M, Shunnar, A, Diwakaran, J

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A two-stage fourth-order “almost” P-stable method for oscillatory problems by Chawla, M.M., Al-Zanaidi, M.A.

“…We propose a two-stage fourth-order “almost” P-stable method for y″ = f( t, y) based on a pair of discretizations in which the displacement is computed using…”
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Singly-implicit stabilized extended one-step methods for second-order initial-value problems with oscillating solutions by Chawla, M.M., Al-Zanaidi, M.A., Al-Ghonaim, S.S.

“…We introduce a new class of singly-implicit extended one-step methods for the numerical integration of second-order initial-value problems y″ = f( t, y), y( t…”
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An extended trapezoidal formula for the diffusion equation in two space dimensions by Chawla, M.M., Al-Zanaidi, M.A.

“…We describe a locally one-dimensional (LOD) time integration scheme for the diffusion equation in two space dimensions: u t = ν( u xx + u yy ), based on the…”
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Extended one-step time-integration schemes for convection-diffusion equations by Chawla, M.M., Al-Zanaidi, M.A., Al-Aslab, M.G.

“…We first describe a one-parameter family of unconditionally stable third-order time-integration schemes for the convection-diffusion equation: u t + cu x = vu…”
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A Parallel Elimination Method for "Periodic" Tridiagonal Systems by Chawla, M.M., Khazal, R.R.

“…We extend the elimination method of Chawla and Khazal [1] to uncouple partitioned blocks of "periodic" tridiagonal linear systems. At each step of the…”
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An extended trapezoidal formula for the diffusion equation by Chawla, M.M., Al-Zanaidi, M.A.

“…A finite-difference scheme for the diffusion equation that has enjoyed great popularity is the Crank-Nicolson scheme [1] based on the classical trapezoidal…”
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A class of one-step time integration schemes for second-order hyperbolic differential equations by Chawla, M.M., Al-Zanaidi, M.A.

“…We present a class of extended one-step time integration schemes for the integration of second-order nonlinear hyperbolic equations u tt = c 2 u xx + p(…”
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Generalized trapezoidal formulas for parabolic equations by Chawla, M.M., Al-Zanaidi, M.A, Evans, D.J

“…We investigate the application of the one-parameter family of generalized trapezoidal formulas (GTFs) introduced in Chawla et al. [2] for the time-integration…”
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A linearly implicit one-step time integration scheme for nonlinear hyperbolic equations by Chawla, M.M., Al-Zanadi, M.A.

“…We present a linearized linearly implicit version of the well-known (functionally implicit) Newmark method for initial-value problems for second order ordinary…”
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Generalized Trapezoidal Formulas for the Symmetric Heat Equation in Polar Coordinates by Chawla, M.M., Al-Zanaidi, M.A., Evans, D.J.

“…This paper has two objectives. We first describe one-step time integration schemes for the symmetric heat equation in polar coordinates: u t = v ( u rr +( a /…”
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Extended double-stride L-stable methods for the numerical solution of ODEs by Chawla, M.M., Karaballi, A.A., Al-Sahhar, M.S.

“…Usmani and Agarwal [1] had proposed construction of extended one-step higher (than two) order A-stable methods by coupling classical Linear Multistep Methods…”
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A class of stabilized extended one-step methods for the numerical solution of ODEs by Chawla, M.M., Al-Zanaidi, M.A., Al-Sahhar, M.S.

“…To overcome the “order barrier” imposed by A-stability on linear multistep methods (LMMs), Usmani and Agarwal [1] had constructed a third order A-stabilized…”
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An alternating direction generalized trapezoidal formula scheme for parabolic differential equations in two space dimensions by Chawla, M.M., Al-Zanaidi, M.A., Evans, D.J.

“…A well-known ADI scheme for parabolic differential equations in two space dimensions is the Peaceman-Rachford scheme; this scheme employs the backward Euler…”
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Linearly implicit generalized trapezoidal formulas for nonlinear differential equations by Chawla, M.M., Al-zanaidi, M.A., Evans, D.J.

“…We describe a linearlized version of the class of generalized trapezoidal formulas (GTFs) introduced in Chawla et al.[3]. For nonlinear differential equations,…”
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Non-dissipative time-integration schemes for the linear advection equation by Chawla, M.M, Al-Zanaidi, M.A, Evans, D.J

“…We discuss an application of the class of non-dissipative methods, introduced recently in Chawla and Al-Zanaidi [1], for the time-integration of the linear…”
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