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EXISTENCE AND SOLUTION OF THIRD-ORDER INTEGRO-DIFFERENTIAL EQUATIONS VIA HAAR WAVELET METHOD.
- Source :
- Fractals; Feb2023, Vol. 31 Issue 2, p1-12, 12p
- Publication Year :
- 2023
-
Abstract
- This paper is related to some qualitative results about the existence and uniqueness of a solution to a third-order problem by using a fixed point approach. Haar technique is applied for numerical solution of a third-order linear integro-differential equation (IDE) with initial conditions. In IDE, the third-order derivative is computed by Haar functions, and the integration is used to get the expression of second- and first-order derivatives, as well as an approximate solution. Some examples from the literature are used to verify the validity of the proposed method. Error analysis is performed. Also, comparison between the exact and numerical solutions at different collocation points (CPs) is derived. The convergence rate is recorded taking different numbers of CPs, which is approximately equal to 2. [ABSTRACT FROM AUTHOR]
- Subjects :
- HAAR function
INTEGRO-differential equations
LINEAR equations
Subjects
Details
- Language :
- English
- ISSN :
- 0218348X
- Volume :
- 31
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Fractals
- Publication Type :
- Academic Journal
- Accession number :
- 163189460
- Full Text :
- https://doi.org/10.1142/S0218348X23400376