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International Journal of Computer Mathematics Volume 82, 2005 - Issue 12
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Original Articles

Tension spline method for second-order singularly perturbed boundary-value problems

Islam Khan Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh, 202002, UP, IndiaCorrespondence[email protected]
&
Tariq Aziz Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh, 202002, UP, India
Pages 1547-1553 | Received 07 Jul 2003, Published online: 31 Aug 2007

Citations (15)

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Read on this site (3)

Homa Zadvan & Jalil Rashidinia. (2019) Tension spline method for the solution of elliptic equations. Journal of Taibah University for Science 13:1, pages 604-610.
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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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Zhongdi Cen. (2011) Uniformly convergent second-order difference scheme for a singularly perturbed periodical boundary value problem. International Journal of Computer Mathematics 88:1, pages 196-206.
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Articles from other publishers (12)

Reetika Chawla & Devendra Kumar. (2023) Higher-order tension spline-based numerical technique for time fractional reaction-diffusion wave equation with damping. International Journal of Dynamics and Control 12:3, pages 634-649.
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Esra Celik, Huseyin Tunc & Murat Sari. (2023) An efficient multi-derivative numerical method for chemical boundary value problems. Journal of Mathematical Chemistry 62:3, pages 634-653.
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Reetika Chawla & Devendra Kumar. (2024) A High Order Numerical Scheme for Time-Fractional Telegraph Equation Via Cubic Spline in Tension. Differential Equations and Dynamical Systems.
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Ermias Argago Megiso, Mesfin Mekuria Woldaregay & Tekle Gemechu Dinka. (2022) Fitted Tension Spline Method for Singularly Perturbed Time Delay Reaction Diffusion Problems. Mathematical Problems in Engineering 2022, pages 1-10.
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Archna Kumari, Shallu & V. K. Kukreja. (2022) Solution of Dual Boundary Layer Singular Perturbation Problem by Septic Hermite Collocation Technique. International Journal of Applied and Computational Mathematics 8:5.
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Ghulam Mustafa, Syeda Tehmina Ejaz, Dumitru Baleanu, Abdul Ghaffar & Kottakkaran Sooppy Nisar. (2020) A subdivision-based approach for singularly perturbed boundary value problem. Advances in Difference Equations 2020:1.
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P. Pramod Chakravarthy, S. Dinesh Kumar & R. Nageshwar Rao. (2016) Numerical Solution of Second Order Singularly Perturbed Delay Differential Equations via Cubic Spline in Tension. International Journal of Applied and Computational Mathematics 3:3, pages 1703-1717.
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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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Ghulam Mustafa & Syeda Tehmina Ejaz. (2017) A SUBDIVISION COLLOCATION METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEMS OF ORDER THREE. Journal of Applied Analysis & Computation 7:3, pages 942-956.
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Venu Gopal, R.K. Mohanty & L.M. Saha. (2014) A new high accuracy non-polynomial tension spline method for the solution of one dimensional wave equation in polar co-ordinates. Journal of the Egyptian Mathematical Society 22:2, pages 280-285.
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Ranjan K Mohanty & Venu Gopal. (2013) A fourth-order finite difference method based on spline in tension approximation for the solution of one-space dimensional second-order quasi-linear hyperbolic equations. Advances in Difference Equations 2013:1.
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Ranjan K. Mohanty, Vijay Dahiya & Noopur Khosla. (2012) Spline in Compression Methods for Singularly Perturbed 1D Parabolic Equations with Singular Coefficients. Open Journal of Discrete Mathematics 02:02, pages 70-77.
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