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International Journal of Computer Mathematics Volume 98, 2021 - Issue 5
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Original Articles

Trigonometric quintic B-spline collocation method for singularly perturbed turning point boundary value problems

Mohammad Prawesh Alama Department of Mathematics, Jamia Millia Islamia, New Delhi, IndiaView further author information
,
Devendra Kumarb Department of Mathematics, Birla Institute of Technology and Science, Pilani, IndiaORCID Iconhttps://orcid.org/0000-0002-4832-8481View further author information
ORCID Icon &
Arshad Khana Department of Mathematics, Jamia Millia Islamia, New Delhi, IndiaCorrespondence[email protected] [email protected]
ORCID Iconhttps://orcid.org/0000-0003-3783-188XView further author information
ORCID Icon
Pages 1029-1048 | Received 19 Feb 2020, Accepted 21 Jun 2020, Published online: 24 Aug 2020

Citations (17)

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Mohammad Prawesh Alam, Arshad Khan & Dumitru Baleanu. (2023) A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models. International Journal of Computer Mathematics 100:1, pages 105-132.
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Fasika Wondimu Gelu & Gemechis File Duressa. (2022) A novel numerical approach for singularly perturbed parabolic convection-diffusion problems on layer-adapted meshes. Research in Mathematics 9:1.
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Articles from other publishers (15)

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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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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Mo Faheem, Arshad Khan & Akmal Raza. (2024) AN EFFICIENT WAVELET COLLOCATION METHOD BASED ON HERMITE POLYNOMIALS FOR A CLASS OF 2D QUASI-LINEAR ELLIPTIC EQUATIONS. Journal of Applied Analysis & Computation 14:3, pages 1198-1221.
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Satpal Singh & Devendra Kumar. (2023) Parameter uniform numerical method for a system of singularly perturbed parabolic convection–diffusion equations. Mathematics and Computers in Simulation 212, pages 360-381.
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B. Karaagac, A. Esen, K. M. Owolabi & E. Pindza. (2023) A Trigonometric Quintic B-Spline Basis Collocation Method for the KdV–Kawahara Equation. Numerical Analysis and Applications 16:3, pages 216-228.
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Aysun TOK ONARCAN, Nihat ADAR & İdris DAĞ. (2023) NUMERICAL SOLUTIONS OF REACTION-DIFFUSION EQUATION SYSTEMS WITH TRIGONOMETRIC QUINTIC B-SPLINE COLLOCATION ALGORITHMNUMERICAL SOLUTIONS OF REACTION-DIFFUSION EQUATION SYSTEMS WITH TRIGONOMETRIC QUINTIC B-SPLINE COLLOCATION ALGORITHM. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 24:2, pages 121-140.
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Ababi Hailu Ejere, Gemechis File Duressa, Mesfin Mekuria Woldaregay & Tekle Gemechu Dinka. (2023) A robust numerical scheme for singularly perturbed differential equations with spatio-temporal delays. Frontiers in Applied Mathematics and Statistics 9.
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Mohammad Prawesh Alam & Arshad Khan. (2023) A high-order numerical method for solving nonlinear derivative-dependent singular boundary value problems using trigonometric B-spline basis function. Mathematical Sciences.
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Satpal Singh, Devendra Kumar & Higinio Ramos. (2023) AN EFFICIENT PARAMETER UNIFORM SPLINE-BASED TECHNIQUE FOR SINGULARLY PERTURBED WEAKLY COUPLED REACTION-DIFFUSION SYSTEMS. Journal of Applied Analysis & Computation 13:4, pages 2203-2228.
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Mohammad Prawesh Alam, Geetan Manchanda & Arshad Khan. (2023) AN <i>ε</i>-UNIFORMLY CONVERGENT METHOD FOR SINGULARLY PERTURBED PARABOLIC PROBLEMS EXHIBITING BOUNDARY LAYERS. Journal of Applied Analysis & Computation 13:4, pages 2089-2120.
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Tahera Begum, Geetan Manchanda, Arshad Khan & Naseem Ahmad. (2023) On numerical solution of boundary layer flow of viscous incompressible fluid past an inclined stretching sheet in porous medium and heat transfer using spline technique. MethodsX 10, pages 102035.
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Mohammad Prawesh Alam & Arshad Khan. (2022) A new numerical algorithm for time-dependent singularly perturbed differential-difference convection–diffusion equation arising in computational neuroscience. Computational and Applied Mathematics 41:8.
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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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Tesfaye Aga Aga Bullo. (2021) Fitted Mesh Scheme for Singularly Perturbed Turning Point Boundary Value Problems. SSRN Electronic Journal.
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