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International Journal of Computer Mathematics Volume 87, 2010 - Issue 14
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Section B

A parameter uniform B-spline collocation method for solving singularly perturbed turning point problem having twin boundary layers

Mohan K. Kadalbajoo Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, 208016, India
&
Vikas Gupta Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, 208016, IndiaCorrespondence[email protected]
Pages 3218-3235 | Received 18 Jun 2008, Accepted 10 Apr 2009, Published online: 06 Oct 2010

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V. P. Ramesh, Kapil K. Sharma, B. Priyanga & G. Narayani. (2021) A uniformly convergent upwind scheme on harmonic mesh for singularly perturbed turning point problems. International Journal for Computational Methods in Engineering Science and Mechanics 22:5, pages 376-385.
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Devendra Kumar. (2019) A parameter-uniform method for singularly perturbed turning point problems exhibiting interior or twin boundary layers. International Journal of Computer Mathematics 96:5, pages 865-882.
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Shilpkala T. ManeRam Kishun Lodhi. (2024) Nonpolynomial Spline for Numerical Solution of Singularly Perturbed Convection-Diffusion Equations with Discontinuous Source Term. International Journal of Mathematical, Engineering and Management Sciences 9:3, pages 632-645.
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Anshima Singh & Sunil Kumar. (2023) An Efficient Numerical Method Based on Exponential B-splines for a Time-Fractional Black–Scholes Equation Governing European Options. Computational Economics.
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Sanjay Ku Sahoo & Vikas Gupta. (2023) An almost second-order robust computational technique for singularly perturbed parabolic turning point problem with an interior layer. Mathematics and Computers in Simulation 211, pages 192-213.
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Anshima Singh & Sunil Kumar. (2023) A convergent exponential B-spline collocation method for a time-fractional telegraph equation. Computational and Applied Mathematics 42:2.
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Süleyman Cengizci, Devendra Kumar & Mehmet Tarık Atay. (2023) A SEMI-ANALYTIC METHOD FOR SOLVING SINGULARLY PERTURBED TWIN-LAYER PROBLEMS WITH A TURNING POINT. Mathematical Modelling and Analysis 28:1, pages 102-117.
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Shan Jiang, Xiao Ding & Meiling Sun. (2023) PARAMETER-UNIFORM SUPERCONVERGENCE OF MULTISCALE COMPUTATION FOR SINGULAR PERTURBATION EXHIBITING TWIN BOUNDARY LAYERS. Journal of Applied Analysis & Computation 13:6, pages 3330-3351.
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Saurabh Kumar & Vikas Gupta. 2023. Computational Methods for Biological Models. Computational Methods for Biological Models 137 148 .
Rakesh Ranjan & Hari Shankar Prasad. (2022) A novel exponentially fitted finite difference method for a class of 2nd order singularly perturbed boundary value problems with a simple turning point exhibiting twin boundary layers. Journal of Ambient Intelligence and Humanized Computing 13:9, pages 4207-4221.
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Sanjay Ku Sahoo & Vikas Gupta. (2022) Higher order robust numerical computation for singularly perturbed problem involving discontinuous convective and source term. Mathematical Methods in the Applied Sciences 45:8, pages 4876-4898.
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Vikas Gupta, Sanjay K. Sahoo & Ritesh K. Dubey. (2021) Robust higher order finite difference scheme for singularly perturbed turning point problem with two outflow boundary layers. Computational and Applied Mathematics 40:5.
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Swati Yadav & Pratima Rai. (2020) A higher order scheme for singularly perturbed delay parabolic turning point problem. Engineering Computations 38:2, pages 819-851.
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Ritesh Kumar Dubey & Vikas Gupta. (2019) A Mesh Refinement Algorithm for Singularly Perturbed Boundary and Interior Layer Problems. International Journal of Computational Methods 17:07, pages 1950024.
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Swati Yadav & Pratima Rai. (2020) A higher order numerical scheme for singularly perturbed parabolic turning point problems exhibiting twin boundary layers. Applied Mathematics and Computation 376, pages 125095.
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Z.Q. Tang & F.Z. Geng. (2016) Fitted reproducing kernel method for singularly perturbed delay initial value problems. Applied Mathematics and Computation 284, pages 169-174.
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F.Z. Geng & S.P. Qian. (2015) Modified reproducing kernel method for singularly perturbed boundary value problems with a delay. Applied Mathematical Modelling 39:18, pages 5592-5597.
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F.Z. Geng & S.P. Qian. (2014) Piecewise reproducing kernel method for singularly perturbed delay initial value problems. Applied Mathematics Letters 37, pages 67-71.
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Mohan K. Kadalbajoo & Vikas Gupta. (2010) A brief survey on numerical methods for solving singularly perturbed problems. Applied Mathematics and Computation 217:8, pages 3641-3716.
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