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International Journal of Computer Mathematics Volume 79, 2002 - Issue 2
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Original Articles

Numerical Solution of Singularly Perturbed Non-Linear Two Point Boundary Value Problems by Spline in Compression

Mohan K. Kadalbajoo Department of Mathematics, Indian Institute of Technology, Kanpur, 208 016, India
&
Kailash C. Patidar Department of Mathematics, Indian Institute of Technology, Kanpur, 208 016, India
Pages 271-288 | Published online: 15 Sep 2010

Citations (9)

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Read on this site (2)

Chi-Chang Wang & Cha'o-Kuang Chen. (2013) Use Residual Correction Method and Monotone Iterative Technique to Calculate the Upper and Lower Approximate Solutions of Singularly Perturbed Non-linear Boundary Value Problems. Smart Science 1:1, pages 25-33.
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Fazal-i-Haq, Siraj-ul-Islam & Imran Aziz. (2011) Numerical Solution of Singularly Perturbed Two-point BVPs Using Nonuniform Haar Wavelets. International Journal for Computational Methods in Engineering Science and Mechanics 12:4, pages 168-175.
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Articles from other publishers (7)

Justin B. Munyakazi & Olawale O. Kehinde. (2022) A New Parameter-Uniform Discretization of Semilinear Singularly Perturbed Problems. Mathematics 10:13, pages 2254.
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Shallu, Archna Kumari & Vijay Kumar Kukreja. (2021) An Improved Extrapolated Collocation Technique for Singularly Perturbed Problems using Cubic B-Spline Functions. Mediterranean Journal of Mathematics 18:4.
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Issam Abu Irwaq, Marwan Alquran, Mohammed Ali, Imad Jaradat & M.S.M. Noorani. (2021) Attractive new fractional-integer power series method for solving singularly perturbed differential equations involving mixed fractional and integer derivatives. Results in Physics 20, pages 103780.
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Ram Kishun Lodhi & Hradyesh Kumar Mishra. (2017) Quintic B-spline method for solving second order linear and nonlinear singularly perturbed two-point boundary value problems. Journal of Computational and Applied Mathematics 319, pages 170-187.
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Ranjan Kumar Mohanty, Navnit Jha & Ravindra Kumar. (2015) A new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equations. Advances in Difference Equations 2015:1.
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Jyoti Talwar, R.K. Mohanty & Swarn Singh. (2015) A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh. Applied Mathematics and Computation 260, pages 82-96.
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Manoj Kumar, Hradyesh Kumar Mishra & Peetam Singh. (2009) A boundary value approach for a class of linear singularly perturbed boundary value problems. Advances in Engineering Software 40:4, pages 298-304.
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