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International Journal of Computer Mathematics Volume 77, 2001 - Issue 2
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Original Articles

Numerical solution of singularly perturbed two point boundary value problems by spline in compression

Mohan K. Kadalbajoo Department of Mathematics, Indian Institute of Technology, Kanpur, 208 016, IndiaCorrespondence[email protected] [email protected]
&
Kailash C. Patidar Department of Mathematics, Indian Institute of Technology, Kanpur, 208 016, India
Pages 263-283 | Received 09 Nov 1999, Published online: 19 Mar 2007

Citations (10)

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E. Siva Prasad & K. Phaneendra. (2021) Solution of Singularly Perturbed Boundary Value Problems with Singularity Using Variable Mesh Finite Difference Method. Journal of Dynamical Systems and Geometric Theories 19:1, pages 113-124.
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Articles from other publishers (9)

Dunqian Cao. (2020) An Exponential Spline Difference Scheme for Solving a Class of Boundary Value Problems of Second-Order Ordinary Differential Equations. Discrete Dynamics in Nature and Society 2020, pages 1-16.
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Ranjan Kumar Mohanty & Gunjan Khurana. (2019) A new high accuracy cubic spline method based on half-step discretization for the system of 1D non-linear wave equations. Engineering Computations 36:3, pages 930-957.
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RK Mohanty & Gunjan Khurana. (2017) A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations. Advances in Difference Equations 2017:1.
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R.K. Mohanty & Venu Gopal. (2014) High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term. Applied Mathematics and Computation 238, pages 250-265.
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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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J. Rashidinia, R. Mohammadi & M. Ghasemi. (2007) Cubic spline solution of singularly perturbed boundary value problems with significant first derivatives. Applied Mathematics and Computation 190:2, pages 1762-1766.
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R.K. Mohanty & Navnit Jha. (2005) A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems. Applied Mathematics and Computation 168:1, pages 704-716.
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R.K. Bawa & S. Natesan. (2005) Quintic Spline Based Computational Scheme for Singularly Perturbed Convection-Diffusion Problems. Quintic Spline Based Computational Scheme for Singularly Perturbed Convection-Diffusion Problems.
Mohan K. Kadalbajoo & Kailash C. Patidar. (2002) A survey of numerical techniques for solving singularly perturbed ordinary differential equations. Applied Mathematics and Computation 130:2-3, pages 457-510.
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