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

Hammerstein Integral Equations ◽

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

10.1016/j.cam.2004.09.019 ◽

2005 ◽

Vol 177 (2) ◽

pp. 269-286 ◽

Cited By ~ 37

Author(s):

Mayinur Muhammad ◽

Ahniyaz Nurmuhammad ◽

Masatake Mori ◽

Masaaki Sugihara

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

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 Hammerstein integral equations by using combination of spline-collocation method and Lagrange interpolation

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.02.031 ◽

2007 ◽

Vol 190 (2) ◽

pp. 1557-1562 ◽

Cited By ~ 5

Author(s):

K. Maleknejad ◽

H. Derili

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Lagrange Interpolation ◽

Spline Collocation ◽

Spline 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 ◽

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

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 Hammerstein integral equations of mixed type using the Sinc-collocation method

10.1016/j.cam.2014.10.019 ◽

2015 ◽

Vol 279 ◽

pp. 31-39 ◽

Cited By ~ 11

Author(s):

E. Hashemizadeh ◽

M. Rostami

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Mixed Type ◽

Hammerstein Integral Equations ◽

Equations Of Mixed Type

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 ◽

Numerical solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via Tau-collocation method with convergence analysis

10.1016/j.cam.2016.06.028 ◽

2016 ◽

Vol 308 ◽

pp. 435-446 ◽

Cited By ~ 5

Author(s):

Z. Gouyandeh ◽

T. Allahviranloo ◽

A. Armand

Keyword(s):

Numerical Solution ◽

Convergence Analysis ◽

Integral Equations ◽

Collocation Method ◽

Hammerstein Integral Equations

Numerical solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via collocation method based on radial basis functions

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.11.013 ◽

2012 ◽

Vol 218 (9) ◽

pp. 5292-5309 ◽

Cited By ~ 34

Author(s):

K. Parand ◽

J.A. Rad

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Radial Basis Functions ◽

Basis Functions ◽

Hammerstein Integral Equations ◽

Radial Basis