A layer adaptive B-spline collocation method for singularly perturbed one-dimensional parabolic problem with a boundary turning point

Vikas Gupta; Mohan K. Kadalbajoo

doi:10.1002/num.20574

A layer adaptive B-spline collocation method for singularly perturbed one-dimensional parabolic problem with a boundary turning point

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20574 ◽

2010 ◽

Vol 27 (5) ◽

pp. 1143-1164 ◽

Cited By ~ 5

Author(s):

Vikas Gupta ◽

Mohan K. Kadalbajoo

Keyword(s):

Collocation Method ◽

Parabolic Problem ◽

Turning Point ◽

Singularly Perturbed ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method ◽

One Dimensional

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A parameter uniform B-spline collocation method for solving singularly perturbed turning point problem having twin boundary layers

International Journal of Computer Mathematics ◽

10.1080/00207160902980492 ◽

2010 ◽

Vol 87 (14) ◽

pp. 3218-3235 ◽

Cited By ~ 8

Author(s):

Mohan K. Kadalbajoo ◽

Vikas Gupta

Keyword(s):

Twin Boundary ◽

Collocation Method ◽

Boundary Layers ◽

Turning Point ◽

Singularly Perturbed ◽

Point Problem ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1802016 ◽

2020 ◽

pp. 1-20

Author(s):

Mohammad Prawesh Alam ◽

Devendra Kumar ◽

Arshad Khan

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Turning Point ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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Exponential B-spline collocation method for self-adjoint singularly perturbed boundary value problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2007.09.008 ◽

2008 ◽

Vol 58 (10) ◽

pp. 1572-1581 ◽

Cited By ~ 26

Author(s):

S. Chandra Sekhara Rao ◽

Mukesh Kumar

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Singularly Perturbed ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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A uniformly convergent B-spline collocation method on a nonuniform mesh for singularly perturbed one-dimensional time-dependent linear convection–diffusion problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.08.016 ◽

2008 ◽

Vol 220 (1-2) ◽

pp. 271-289 ◽

Cited By ~ 27

Author(s):

Mohan K. Kadalbajoo ◽

Vikas Gupta ◽

Ashish Awasthi

Keyword(s):

Collocation Method ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Time Dependent ◽

Spline Collocation ◽

Nonuniform Mesh ◽

B Spline ◽

One Dimensional ◽

Convection Diffusion ◽

Uniformly Convergent

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Numerical Simulation of Singularly Perturbed Differential Equation with Large Delay Using Exponential B-Spline Collocation Method

Differential Equations in Engineering ◽

10.1201/9781003105145-4 ◽

2021 ◽

pp. 77-94

Author(s):

Geeta Arora ◽

Mandeep Kaur Vaid

Keyword(s):

Differential Equation ◽

Numerical Simulation ◽

Collocation Method ◽

Singularly Perturbed ◽

Spline Collocation ◽

Large Delay ◽

B Spline ◽

Spline Collocation Method ◽

Singularly Perturbed Differential Equation ◽

Perturbed Differential Equation

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Fitted mesh B-spline collocation method for singularly perturbed differential–difference equations with small delay

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.05.140 ◽

2008 ◽

Vol 204 (1) ◽

pp. 90-98 ◽

Cited By ~ 19

Author(s):

M.K. Kadalbajoo ◽

Devendra Kumar

Keyword(s):

Collocation Method ◽

Difference Equations ◽

Singularly Perturbed ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method ◽

Small Delay

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Hybrid cubic B-spline collocation method for solving one-dimensional wave equation

10.1063/1.4965204 ◽

2016 ◽

Author(s):

Shazalina Mat Zin

Keyword(s):

Wave Equation ◽

Collocation Method ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method ◽

One Dimensional ◽

Dimensional Wave

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Numerical solution of second order one dimensional hyperbolic telegraph equation by cubic B-spline collocation method

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.05.081 ◽

2013 ◽

Vol 220 ◽

pp. 496-506 ◽

Cited By ~ 17

Author(s):

R.C. Mittal ◽

Rachna Bhatia

Keyword(s):

Numerical Solution ◽

Collocation Method ◽

Telegraph Equation ◽

Second Order ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method ◽

One Dimensional

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Quadratic B-spline collocation method for two-parameter singularly perturbed problem on exponentially graded mesh

International Journal of Computer Mathematics ◽

10.1080/00207160.2021.1901277 ◽

2021 ◽

pp. 1-21

Author(s):

Meenakshi Shivhare ◽

P. Pramod Chakravarthy ◽

Devendra Kumar

Keyword(s):

Collocation Method ◽

Singularly Perturbed ◽

Singularly Perturbed Problem ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method ◽

Graded Mesh ◽

Two Parameter ◽

Exponentially Graded

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B-Spline Collocation Method for Solving Singularly Perturbed Boundary Value Problems

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2016.49178 ◽

2016 ◽

Vol 04 (09) ◽

pp. 1699-1704

Author(s):

Bin Lin

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Singularly Perturbed ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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