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International Journal of Computer Mathematics Volume 81, 2004 - Issue 12
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A variable-mesh approximation method for singularly perturbed boundary-value problems using cubic spline in tension

A. KhanDepartment of Mathematics, Aligarh Muslim University, Aligarh, 202002, India
,
I. KhanDepartment of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh, 202002, India
,
T. AzizDepartment of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh, 202002, India
&
M. StojanovicDepartment of Mathematics and Informatics, Faculty of Science, University of Novi Sad, Trg D. Obradovica 4, YU-21 000, Novi Sad, Serbia and Montenegro
Pages 1513-1518 | Received 16 Jan 2004, Accepted 30 Apr 2004, Published online: 25 Jan 2007

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Wakjira Tolassa Gobena & Gemechis File Duressa. (2023) An efficient numerical approach for solving singularly perturbed parabolic differential equations with large negative shift and integral boundary condition. Applied Mathematics in Science and Engineering 31:1.
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Imiru Takele Daba & Gemechis File Duressa. (2022) A novel algorithm for singularly perturbed parabolic differential-difference equations. Research in Mathematics 9:1.
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Jyoti Talwar, R.K. Mohanty & Swarn Singh. (2016) A new algorithm based on spline in tension approximation for 1D quasi-linear parabolic equations on a variable mesh. International Journal of Computer Mathematics 93:10, pages 1771-1786.
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Bin Lin. (2015) Non-polynomial splines method for numerical solutions of the regularized long wave equation. International Journal of Computer Mathematics 92:8, pages 1591-1607.
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Articles from other publishers (11)

Naol Tufa Negero. (2023) Fitted cubic spline in tension difference scheme for two-parameter singularly perturbed delay parabolic partial differential equations. Partial Differential Equations in Applied Mathematics 8, pages 100530.
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P. Murali Mohan Kumar & A. S. V. Ravi Kanth. 2023. Recent Advances in Applied Mathematics and Applications to the Dynamics of Fluid Flows. Recent Advances in Applied Mathematics and Applications to the Dynamics of Fluid Flows 251 261 .
Tariku Birabasa Mekonnen & Gemechis File Duressa. (2022) A Fitted Mesh Cubic Spline in Tension Method for Singularly Perturbed Problems with Two Parameters. International Journal of Mathematics and Mathematical Sciences 2022, pages 1-11.
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Imiru Takele Daba & Gemechis File Duressa. (2022) Uniformly convergent computational method for singularly perturbed unsteady burger-huxley equation. MethodsX 9, pages 101886.
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T. E. Simos & Ioannis Th. Famelis. (2021) A neural network training algorithm for singular perturbation boundary value problems. Neural Computing and Applications 34:1, pages 607-615.
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P. Murali Mohan Kumar & A. S. V. Ravi Kanth. (2020) Computational study for a class of time-dependent singularly perturbed parabolic partial differential equation through tension spline. Computational and Applied Mathematics 39:3.
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A.S.V. Ravi Kanth & P. Murali Mohan Kumar. (2019) Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh. Hacettepe Journal of Mathematics and Statistics, pages 1-15.
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K Phaneendra & Siva Prasad Emineni. (2019) Variable mesh non polynomial spline method for singular perturbation problems exhibiting twin layers. Journal of Physics: Conference Series 1344:1, pages 012011.
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Ranjan Kumar Mohanty & Ravindra Kumar. (2015) A New Numerical Method Based on Non-Polynomial Spline in Tension Approximations for 1D Quasilinear Hyperbolic Equations on a Variable Mesh. Differential Equations and Dynamical Systems 25:2, pages 207-222.
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Robert Vrabel. (2010) Nonlocal Four-Point Boundary Value Problem for the Singularly Perturbed Semilinear Differential Equations. Boundary Value Problems 2011:1.
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Robert Vrabel. (2011) Nonlocal Four-Point Boundary Value Problem for the Singularly Perturbed Semilinear Differential Equations. Boundary Value Problems 2011, pages 1-9.
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