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Original Articles

An ϵ-uniform fitted operator method for solving boundary-value problems for singularly perturbed delay differential equations: Layer behavior

Pages 1261-1276 | Received 06 Sep 2002, Accepted 23 Sep 2002, Published online: 12 May 2010

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Garima & Kapil K. Sharma. (2023) The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts. International Journal of Computer Mathematics 100:12, pages 2217-2240.
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Komal Bansal & Kapil K. Sharma. (2018) Parameter-Robust Numerical Scheme for Time-Dependent Singularly Perturbed Reaction–Diffusion Problem with Large Delay. Numerical Functional Analysis and Optimization 39:2, pages 127-154.
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Articles from other publishers (12)

Rakesh Ranjan, Hari Shankar Prasad & Gashu Gadisa Kiltu. (2024) A Novel Fitted Three Term Method for the Numerical Treatment of Singularly Perturbed Differential–Difference Equations. Mediterranean Journal of Mathematics 21:2.
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Mohammad Javed Alam, Hari Shankar Prasad & Rakesh Ranjan. (2024) A Novel Fitted Method for a Class of Singularly Perturbed Differential-Difference Equations with Small Delay Exhibiting Twin Layer or Oscillatory Behaviour. Computational Mathematics and Mathematical Physics 63:12, pages 2528-2550.
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Amit Sharma & Pratima Rai. (2023) Analysis of a higher order uniformly convergent method for singularly perturbed parabolic delay problems. Applied Mathematics and Computation 448, pages 127906.
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Garima, Gajendra Babu & Kapil K. Sharma. (2023) An ε-Uniform Method for Singularly Perturbed 2D Convection Dominated Elliptic Boundary Value Problems with Delay and Advance. Differential Equations and Dynamical Systems.
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Rakesh Ranjan & Hari Shankar Prasad. (2020) A novel approach for the numerical approximation to the solution of singularly perturbed differential-difference equations with small shifts. Journal of Applied Mathematics and Computing 65:1-2, pages 403-427.
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P. Pramod Chakravarthy & Trun Gupta. (2019) Numerical Solution of a Weakly Coupled System of Singularly Perturbed Delay Differential Equations Via Cubic Spline in Tension. National Academy Science Letters 43:3, pages 259-262.
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Pramod Chakravarthy Podila & Trun Gupta. (2019) Numerical Solution of a Weakly Coupled System of Singularly Perturbed Delay Differential Equations via Spline in Compression. National Academy Science Letters 43:1, pages 67-72.
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Trun Gupta & P. Pramod Chakravarthy. 2019. Numerical Heat Transfer and Fluid Flow. Numerical Heat Transfer and Fluid Flow 305 312 .
Ravi Kanth Adivi Sri Venkata & Murali Mohan Kumar Palli. (2017) A numerical approach for solving singularly perturbed convection delay problems via exponentially fitted spline method. Calcolo 54:3, pages 943-961.
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V. Subburayan & N. Ramanujam. (2013) AN INITIAL VALUE METHOD FOR SINGULARLY PERTURBED SYSTEM OF REACTION-DIFFUSION TYPE DELAY DIFFERENTIAL EQUATIONS. Journal of the Korea Society for Industrial and Applied Mathematics 17:4, pages 221-237.
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Şuayip Yüzbaşı & Mehmet Sezer. (2013) Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations. Abstract and Applied Analysis 2013, pages 1-9.
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M.K. Kadalbajoo & K.K. Sharma. (2005) Numerical treatment for singularly perturbed nonlinear differential difference equations with negative shift. Nonlinear Analysis: Theory, Methods & Applications 63:5-7, pages e1909-e1924.
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