Spectral methods for pantograph-type differential and integral equations with multiple delays

By Ishtiaq Ali, Hermann Brunner, Tao Tang. 2009

87 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/4154564e5ac358af7bc9f3c7b20a176a5b499843

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Yanping Chen
2. Yunxia Wei
3. Tao Tang
4. Xianjuan Li

In Computational Theory and Mathematics

1. Yanping Chen
2. Yunxia Wei
3. Tao Tang
4. Xianjuan Li
5. Zuliang Lu

In Numerical Analysis

1. Yanping Chen
2. Xianjuan Li
3. Yunxia Wei
4. Tao Tang
5. Changpin Li
6. Anatoly A. Alikhanov

Citations in the corpus

• Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions (2012, methodology): “Recently, the present authors have developed the spectral methods for the solutions of Volterra integral equations (VIEs) of the second kind [10,11,28], pantograph-type delay differential equations [1, 2] and singularly perturbed problems [18].”
• Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind (2012, background): “We point out that for (1) without the singular kernel, spectral methods and the corresponding error analysis have been provided recently [24]; see also [1,2,25] for spectral methods to pantographtype delay differential equations.”