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International Journal of Computer Mathematics Volume 96, 2019 - Issue 5
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Original Article

A parameter-uniform method for singularly perturbed turning point problems exhibiting interior or twin boundary layers

Devendra KumarDepartment of Mathematics, Birla Institute of Technology and Science, Pilani, Rajasthan, IndiaCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0002-4832-8481
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Pages 865-882 | Received 10 Jan 2017, Accepted 19 Mar 2018, Published online: 09 Apr 2018

Citations (17)

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Read on this site (3)

Devendra Kumar. (2022) A uniformly convergent scheme for two-parameter problems having layer behaviour. International Journal of Computer Mathematics 99:3, pages 553-574.
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Mohammad Prawesh Alam, Devendra Kumar & Arshad Khan. (2021) Trigonometric quintic B-spline collocation method for singularly perturbed turning point boundary value problems. International Journal of Computer Mathematics 98:5, pages 1029-1048.
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Devendra Kumar. (2018) A collocation method for singularly perturbed differential-difference turning point problems exhibiting boundary/interior layers. Journal of Difference Equations and Applications 24:12, pages 1847-1870.
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Articles from other publishers (14)

Mufutau Ajani Rufai, Higinio Ramos & Bruno Carpentieri. (2024) A variable stepsize hybrid block optimized technique for integrating a class of singularly perturbed parabolic problems. Results in Applied Mathematics 21, pages 100417.
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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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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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Komal Deswal, Devendra Kumar & J. Vigo-Aguiar. (2022) Three-dimensional Haar wavelet method for singularly perturbed elliptic boundary value problems on non-uniform meshes. Journal of Mathematical Chemistry 60:7, pages 1314-1336.
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Xiaojing Liu, Youhe Zhou & Jizeng Wang. (2022) Wavelet multiresolution interpolation Galerkin method for nonlinear boundary value problems with localized steep gradients. Applied Mathematics and Mechanics 43:6, pages 863-882.
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Satpal Singh, Devendra Kumar & Higinio Ramos. (2022) A uniformly convergent quadratic -spline based scheme for singularly perturbed degenerate parabolic problems . Mathematics and Computers in Simulation 195, pages 88-106.
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Tesfaye Aga Bullo. (2022) Accelerated Fitted Mesh Scheme for Singularly Perturbed Turning Point Boundary Value Problems. Journal of Mathematics 2022, pages 1-8.
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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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Swati Yadav & Pratima Rai. (2021) An almost second order hybrid scheme for the numerical solution of singularly perturbed parabolic turning point problem with interior layer. Mathematics and Computers in Simulation 185, pages 733-753.
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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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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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Sehar Iqbal & Paul Andries Zegeling. (2020) Higher Order Nonuniform Grids for Singularly Perturbed Convection-Diffusion-Reaction Problems. Computational Mathematics and Mathematical Physics 59:12, pages 2057-2079.
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Justin B. Munyakazi, Kailash C. Patidar & Mbani T. Sayi. (2019) A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer. Numerical Methods for Partial Differential Equations 35:6, pages 2407-2422.
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