SEMIORTHOGONAL SPLINE WAVELETS APPROXIMATION FOR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
By Mehrdad Lakestani, Mohsen Razzaghi, Mehdi Dehghan. 2006
97 citations recorded by the source corpus.
A method for solving the nonlinear second-order Fredholm integro-differential equations is presented. The approach is based on a compactly supported linear semiorthogonal B-spline wavelets. The operational matrices of derivative for B-spline scaling functions and wavelets are presented and utilized to reduce the solution of Fredholm integro-differential to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
Subfields: Computer Vision and Pattern Recognition, Mechanics of Materials, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/dea48024500cc7a12252d5d4d39133c82634afb5
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computer Vision and Pattern Recognition
- Yadollah Ordokhani
- Elham Keshavarz
- Mehdi Dehghan
- Mehrdad Lakestani
- Mohsen Razzaghi
- S. Irandoust‐pakchin
In Mechanics of Materials
- Mehrdad Lakestani
- Mohsen Razzaghi
- Natalya Shakhovska
- Yadollah Ordokhani
- Elham Keshavarz
- Mehdi Dehghan
- S. Irandoust‐pakchin
- Ali Shokri
In Modeling and Simulation
- Yadollah Ordokhani
- Mehrdad Lakestani
- Mohsen Razzaghi
- S. Irandoust‐pakchin
- Mehdi Dehghan
- Elham Keshavarz
- Natalya Shakhovska
- Somayeh Abdi-Mazraeh
Citations in the corpus
- A numerical solution for fractional optimal control problems via Bernoulli polynomials (2016, methodology): “Special attention has been given to applications of the Walsh functions, rationalized Haar functions, Legendre polynomials, hybrid of block-pulse functions and Legendre polynomials, hybrid of block-pulse functions and Taylor series, and semi-orthogonal wavelets (Chang and Wang, 1983; Chen and Hsiao,”
- Numerical solution for a class of fractional convection–diffusion equations using the flatlet oblique multiwavelets (2014, methodology): “By considering Equation (17) we can write (Darani et al., 2010; Lakestani et al., 2006; Lakestani and Saray, 2010; Lakestani et al., 2011, 2012)”
- Advances in Intelligent Systems and Computing (2016, background): “Thanks to the features [16] 〈↑| α f , β f 〉 = α f , 〈αi , βi |↑〉 = ᾱi and α f ᾱi = e−ᾱiα f − 1,”
- Four techniques based on the B‐spline expansion and the collocation approach for the numerical solution of the Lane–Emden equation (2013, background): “It is shown in [42, 43] that the differentiation of vectorsˆM in (2.”
- 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”