Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets

By Mehrdad Lakestani, Mohsen Razzaghi, Mehdi Dehghan. 2005

52 citations recorded by the source corpus.

Compactly supported linear semiorthogonal B-spline wavelets together with their dual wavelets are developed to approximate the solutions of nonlinear Fredholm-Hammerstein integral equations. Properties of these wavelets are first presented; these properties are then utilized to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through an illustrative example.

Subfields: Computational Mechanics, Computer Vision and Pattern Recognition, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/e4ba4e8a6b6af63a2ce2a5524e9e37ef5124aa19

How researchers see this paper

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

In Computational Mechanics

1. Mohsen Razzaghi
2. Mehdi Dehghan

In Computer Vision and Pattern Recognition

1. Mehdi Dehghan
2. Mehrdad Lakestani
3. Mohsen Razzaghi
4. Yadollah Ordokhani

In Modeling and Simulation

1. Mehrdad Lakestani
2. Mehdi Dehghan
3. Mohsen Razzaghi
4. Yadollah Ordokhani
5. Ali H. Bhrawy
6. S. Irandoust‐pakchin
7. Abbas Saadatmandi
8. S. Yousefi

Citations in the corpus

• THE CONSTRUCTION OF OPERATIONAL MATRIX OF FRACTIONAL DERIVATIVES USING B-SPLINE FUNCTIONS (2012, unknown): “0 U0JðtÞe UJ ðtÞdt; ð2:10Þ where e UJ is the vector of dual basis of UJ which can be obtained using the linear combinations of /j,k [22,23] as e UJ 1⁄4 P UJ ; ð2:11Þ where”
• SEMIORTHOGONAL SPLINE WAVELETS APPROXIMATION FOR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS (2006, background): “The use of SO compactly supported spline wavelets is justified by their interesting properties [1, 6].”