Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases
By Hosseini Seyed Mohammad, S. Shahmorad. 2003
128 citations recorded by the source corpus.
Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/e870328cbdafc1b598e6aa4d2b83c9aea0292917
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mechanics of Materials
- Ali H. Bhrawy
- Eid H. Doha
- Ramy M. Hafez
- Arvet Pedas
- Enn Tamme
- Mohamed El-Gamel
- Adel A. K. Mohsen
- A. Alofi
In Modeling and Simulation
- Ali H. Bhrawy
- Eid H. Doha
- Ramy M. Hafez
- Arvet Pedas
- Enn Tamme
- Mohamed El-Gamel
- Adel A. K. Mohsen
- Dumitru Băleanu
In Numerical Analysis
- Ali H. Bhrawy
- Eid H. Doha
- Ramy M. Hafez
- Arvet Pedas
- Enn Tamme
- Mohamed El-Gamel
- Adel A. K. Mohsen
- Dumitru Băleanu
Citations in the corpus
- Spline collocation method for integro-differential equations with weakly singular kernels (2006, methodology): “The solution of such equations by Galerkin method is studied in [18], by Tau method in [7], by Taylor method in [11] and by the modified Adomian decomposition method in [19].”
- A Sinc–Collocation method for the linear Fredholm integro-differential equations (2007, methodology): “Hosseini and Shahmorad [ 12 ], used the Tau method with arbitrary polynomial bases to solve Fredholm integro-difierential equations.”
- On shifted Jacobi spectral method for high-order multi-point boundary value problems (2012, methodology): “The tau method is widely used in numerical solutions of differential equations, such as the Stokes problems [27,28], integro-differential equations [20,21], moving and free boundary problems [1], and space–time spectral methods [30].”