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

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 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 ◽

An efficient Sinc‐collocation method by the single exponential transformation for the nonlinear fourth‐order partial integro‐differential equation with multiterm kernels

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7984 ◽

2021 ◽

Author(s):

Huifa Jiang ◽

Da Xu

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Fourth Order ◽

Integro Differential Equation ◽

Single Exponential

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 nonlinear fractional integro-differential equation by Collocation method

Malaya Journal of Matematik ◽

10.26637/mjm0601/0011 ◽

2018 ◽

Vol 06 (01) ◽

pp. 73-79

Author(s):

S. I. Unhale ◽

S. D. Kendre

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Collocation Method ◽

Integro Differential Equation

Numerical solution of stochastic fractional integro-differential equation by the spectral collocation method

10.1016/j.cam.2017.02.027 ◽

2017 ◽

Vol 321 ◽

pp. 336-347 ◽

Cited By ~ 22

Author(s):

Z. Taheri ◽

S. Javadi ◽

E. Babolian

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Integro 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

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 ◽

WELL-POSEDNESS AND NUMERICAL SOLUTION OF A NONLINEAR VOLTERRA PARTIAL INTEGRO-DIFFERENTIAL EQUATION MODELING A SWELLING POROUS MATERIAL

Journal of Porous Media ◽

10.1615/jpormedia.v17.i9.20 ◽

2014 ◽

Vol 17 (9) ◽

pp. 763-784 ◽

Cited By ~ 2

Author(s):

Keith J. Wojciechowski ◽

Jinhai Chen ◽

Lynn Schreyer-Bennethum ◽

Kristian Sandberg

Keyword(s):

Differential Equation ◽

Porous Material ◽

Numerical Solution ◽

Equation Modeling ◽

Well Posedness ◽

Integro Differential Equation ◽

Differential Equation Modeling