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

Ahniyaz Nurmuhammad; Mayinur Muhammad; Masatake Mori; Masaaki Sugihara

doi:10.1016/j.cam.2004.09.061

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 ◽

Cited By ~ 20

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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On the solvability of a boundary value problem for a fourth-order ordinary differential equation

Applied Mathematics Letters ◽

10.1016/j.aml.2004.03.011 ◽

2005 ◽

Vol 18 (4) ◽

pp. 439-444 ◽

Cited By ~ 17

Author(s):

Maria do Rosário Grossinho ◽

Luis Sanchez ◽

Stepan A. Tersian

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Boundary Value Problem ◽

Fourth Order ◽

Boundary Value ◽

Order Ordinary Differential Equation

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On a variational statement of a nonlocal boundary value problem for a fourth-order ordinary differential equation

Differential Equations ◽

10.1134/s0012266109030045 ◽

2009 ◽

Vol 45 (3) ◽

pp. 335-343 ◽

Cited By ~ 3

Author(s):

T. A. Jangveladze ◽

G. B. Lobjanidze

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Boundary Value Problem ◽

Fourth Order ◽

Boundary Value ◽

Nonlocal Boundary ◽

Nonlocal Boundary Value Problem ◽

Order Ordinary Differential Equation ◽

Variational Statement

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On a nonlocal boundary value problem for a fourth-order ordinary differential equation

Differential Equations ◽

10.1134/s0012266111020042 ◽

2011 ◽

Vol 47 (2) ◽

pp. 179-186 ◽

Cited By ~ 2

Author(s):

T. A. Jangveladze ◽

G. B. Lobjanidze

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Boundary Value Problem ◽

Fourth Order ◽

Boundary Value ◽

Nonlocal Boundary ◽

Nonlocal Boundary Value Problem ◽

Order Ordinary Differential Equation

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Positive solutions of four-point boundary value problem for fourth order ordinary differential equation

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2010.02.009 ◽

2010 ◽

Vol 52 (1-2) ◽

pp. 200-206 ◽

Cited By ~ 1

Author(s):

Changchun Yu ◽

Shihua Chen ◽

Francis Austin ◽

Jinhu Lü

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Boundary Value Problem ◽

Positive Solutions ◽

Fourth Order ◽

Boundary Value ◽

Point Boundary ◽

Order Ordinary Differential Equation

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Boundary value problem for non-linear second order ordinary differential equation with discontinuous terms in Banach Space

Analysis in Theory and Applications ◽

10.1007/s10496-009-0349-8 ◽

2009 ◽

Vol 25 (4) ◽

pp. 349-354

Author(s):

Jin’e Shi ◽

Guozhong Cui

Keyword(s):

Differential Equation ◽

Banach Space ◽

Ordinary Differential Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Second Order ◽

Order Ordinary Differential Equation ◽

Non Linear

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On a singular boundary value problem for a second order ordinary differential equation

Nonlinear Analysis ◽

10.1016/s0362-546x(99)00139-x ◽

2000 ◽

Vol 42 (6) ◽

pp. 949-960 ◽

Cited By ~ 2

Author(s):

A. Lepin ◽

V. Ponomarev

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Second Order ◽

Singular Boundary ◽

Singular Boundary Value Problem ◽

Order Ordinary Differential Equation

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The first boundary-value problem for a singular nonlinear ordinary differential equation of fourth order

Journal of Mathematical Sciences ◽

10.1007/s10958-007-0081-x ◽

2007 ◽

Vol 141 (6) ◽

pp. 1702-1709

Author(s):

M. N. Yakovlev

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Boundary Value Problem ◽

Fourth Order ◽

Boundary Value ◽

Nonlinear Ordinary Differential Equation

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Projection method for discretization of boundary-value problems for a fourth-order ordinary differential equation

Journal of Mathematical Sciences ◽

10.1007/bf01250579 ◽

1994 ◽

Vol 69 (6) ◽

pp. 1379-1384

Author(s):

A. A. Klunnik ◽

V. G. Prikazchikov

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Boundary Value Problems ◽

Projection Method ◽

Fourth Order ◽

Boundary Value ◽

Order Ordinary Differential Equation

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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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