Numerical solution of integral equations by means of the Sinc collocation method based on the double exponential transformation

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 ◽

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 ◽

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 ◽

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 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 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 ◽

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 ◽

Cited By ~ 22

Author(s):

Masaaki Sugihara

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Point Boundary ◽

Numerical solution of special 2D Fredholm-Volterra integral equations using barycentric Gegenbauer interpolation collocation method

Journal of Physics Conference Series ◽

10.1088/1742-6596/1634/1/012099 ◽

2020 ◽

Vol 1634 ◽

pp. 012099

Author(s):

Hongyan Liu ◽

Jin Huang

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations

A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.07.073 ◽

2017 ◽

Vol 315 ◽

pp. 424-444 ◽

Cited By ~ 5

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Radial Basis

On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0050 ◽

2019 ◽

Vol 11 (4) ◽

pp. 807-837 ◽

Cited By ~ 2

Author(s):

global sci

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Boundary Integral Equations ◽

Boundary Integral