Numerical solution of singularly perturbed parabolic differential difference equations
This study presents a computational method for the singularly perturbed parabolic differential difference equations with small negative shifts in convection and reaction terms. To handle the small negative shifts, the Taylor series expansion is applied.
D.B. Huka, W.G. Melesse, F.W. Gelu
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Graded mesh B-spline collocation method for two parameters singularly perturbed boundary value problems. [PDF]
Andisso FS, Duressa GF.
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Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition. [PDF]
Wondimu GM +3 more
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This paper proposes a spectral-grid method based on Chebyshev polynomials of the first kind for the numerical solution of second-order singularly perturbed boundary value problems containing two boundary layers.
Chori Begaliyevich Normurodov +5 more
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A tension spline fitted numerical scheme for singularly perturbed reaction-diffusion problem with negative shift. [PDF]
Ejere AH +3 more
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Orthogonal Polynomials with Singularly Perturbed Freud Weights. [PDF]
Min C, Wang L.
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In this paper, a seventh order numerical method is presented for solving singularly perturbed differential-difference equations with negative shift. In recent papers the term negative shift has been used for delay.
Kolloju Phaneendra +2 more
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A uniformly convergent numerical scheme for solving singularly perturbed differential equations with large spatial delay. [PDF]
Ejere AH +3 more
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A parameter uniform method for two-parameter singularly perturbed boundary value problems with discontinuous data. [PDF]
Roy N, Jha A.
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Second-order robust finite difference method for singularly perturbed Burgers' equation. [PDF]
Kabeto MJ, Duressa GF.
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