Double exponential transformation in the Sinc-collocation method for two-point boundary value problems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(02)00533-2 ◽

2002 ◽

Vol 149 (1) ◽

pp. 239-250 ◽

Author(s):

Masaaki Sugihara

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Point Boundary ◽

Exponential Transformation ◽

Double Exponential Transformation ◽

Double Exponential

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Double exponential transformation in the Sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.09.061 ◽

2005 ◽

Vol 182 (1) ◽

pp. 32-50 ◽

Author(s):

Ahniyaz Nurmuhammad ◽

Mayinur Muhammad ◽

Masatake Mori ◽

Masaaki Sugihara

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Boundary Value Problem ◽

Collocation Method ◽

Fourth Order ◽

Boundary Value ◽

Order Ordinary Differential Equation ◽

Exponential Transformation ◽

Double Exponential Transformation ◽

Double Exponential

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Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the Sinc-collocation method based on the double exponential transformation

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125693 ◽

2021 ◽

Vol 392 ◽

pp. 125693

Author(s):

Wenlin Qiu ◽

Da Xu ◽

Jing Guo

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Collocation Method ◽

Fourth Order ◽

Integro Differential Equation ◽

Exponential Transformation ◽

Double Exponential Transformation ◽

Double Exponential

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A collocation method for two-point boundary value problems

Mathematics of Computation ◽

10.1090/s0025-5718-1975-0375785-7 ◽

1975 ◽

Vol 29 (131) ◽

pp. 761-761 ◽

Author(s):

J. H. Ahlberg ◽

T. Ito

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

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Computable Error Estimates for the Collocation Method Applied to Two-point Boundary Value Problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/1.4.489 ◽

1981 ◽

Vol 1 (4) ◽

pp. 489-497

Author(s):

B. M. HERBST ◽

J. F. BOTHA

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Error Estimates ◽

Boundary Value ◽

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Numerical solution of nonlinear Hammerstein integral equations via Sinc collocation method based on double exponential transformation

Mathematical Sciences ◽

10.1186/2251-7456-7-30 ◽

2013 ◽

Vol 7 (1) ◽

pp. 30 ◽

Author(s):

Mohammad Ali Fariborzi Araghi ◽

Ghasem Kazemi Gelian

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Exponential Transformation ◽

Hammerstein Integral Equations ◽

Double Exponential Transformation ◽

Double Exponential

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A formally second‐order backward differentiation formula Sinc‐collocation method for the Volterra integro‐differential equation with a weakly singular kernel based on the double exponential transformation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22703 ◽

2020 ◽

Author(s):

Wenlin Qiu ◽

Da Xu ◽

Jing Guo

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Differentiation Formula ◽

Exponential Transformation ◽

Backward Differentiation Formula ◽

Weakly Singular ◽

Double Exponential Transformation ◽

Double Exponential

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Approximate Solution of Higher Order Two Point Boundary Value Problems Using Uniform Haar Wavelet Collocation Method

Mathematical Modelling, Applied Analysis and Computation - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-981-13-9608-3_14 ◽

2019 ◽

pp. 209-220

Author(s):

Akmal Raza ◽

Arshad Khan

Keyword(s):

Approximate Solution ◽

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Haar Wavelet ◽

Higher Order ◽

Point Boundary ◽

Wavelet Collocation Method

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The use of Sinc-collocation method for solving multi-point boundary value problems

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.06.018 ◽

2012 ◽

Vol 17 (2) ◽

pp. 593-601 ◽

Author(s):

Abbas Saadatmandi ◽

Mehdi Dehghan

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

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A collocation method for singularly perturbed two-point boundary value problems with splines in tension

Advances in Computational Mathematics ◽

10.1007/bf02127696 ◽

1996 ◽

Vol 6 (1) ◽

pp. 65-76 ◽

Author(s):

Miljenko Marušić ◽

Mladen Rogina

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Singularly Perturbed ◽

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A collocation method for solving a class of singular nonlinear two-point boundary value problems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(97)00070-8 ◽

1997 ◽

Vol 83 (2) ◽

pp. 147-163 ◽

Author(s):

Ruibin Qu ◽

Ravi P. Agarwal

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

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