An upper bound estimate and stability for the global error of numerical integration using double exponential transformation

Double Exponential ◽

Upper Bound Estimate

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 ◽

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 ◽

Cited By ~ 1

Author(s):

Mohammad Ali Fariborzi Araghi ◽

Ghasem Kazemi Gelian

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Hammerstein Integral Equations ◽

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 ◽

Backward Differentiation Formula ◽

Weakly Singular ◽

Discovery of the double exponential transformation and its developments

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1145474600 ◽

2005 ◽

Vol 41 (4) ◽

pp. 897-935 ◽

Cited By ~ 47

Author(s):

Masatake Mori

Keyword(s):

Solving fuzzy Fredholm linear integral equations using Sinc method and double exponential transformation

Soft Computing ◽

10.1007/s00500-014-1316-7 ◽

2014 ◽

Vol 19 (4) ◽

pp. 1063-1070 ◽

Cited By ~ 5

Author(s):

M. A. Fariborzi Araghi ◽

Gh. Kazemi Gelian

Keyword(s):

Integral Equations ◽

Sinc Method ◽

Double Exponential ◽

Linear Integral ◽

Linear Integral Equations

Double exponential transformation for computing three-center nuclear attraction integrals

Molecular Physics ◽

10.1080/00268976.2019.1619854 ◽

2019 ◽

Vol 118 (4) ◽

pp. 1619854

Author(s):

Jordan Lovrod ◽

Hassan Safouhi

Keyword(s):

Double Exponential ◽

Nuclear Attraction

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 ◽

Numerical iterated integration based on the double exponential transformation

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167477 ◽

2005 ◽

Vol 22 (1) ◽

pp. 77-86 ◽

Cited By ~ 2

Author(s):

Mayinur Muhammad ◽

Masatake Mori

Keyword(s):

Numerical Solutions of Serrin's Equations by Double Exponential Transformation

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1201012042 ◽

2007 ◽

Vol 43 (3) ◽

pp. 795-817 ◽

Cited By ~ 3

Author(s):

Shinsuke Hamada

Keyword(s):

Numerical Solutions ◽

Numerical solution of initial value problems based on the double exponential transformation

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1145474601 ◽

2005 ◽

Vol 41 (4) ◽

pp. 937-948 ◽

Cited By ~ 3

Author(s):

Ahniyaz Nurmuhammad ◽

Mayinur Muhammad ◽

Masatake Mori

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽