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Solving Fredholm integral equations of the first kind by using wavelet bases

Yaser ROSTAMİ [1] , Khosrow Maleknejad [2]

In this paper, we used a project technique for solving integral equation of the first kind by wavelet families via regularization approach and we proved the convergence for the numerical method and error consideration. Semi-orthogonal B-spline scaling functions and wavelets of degree 4 and their dual functions are presented to approximate the solutions to integral equations. Sparse matrix will product of semi-orthoganality and vanishing moment properties of B-spline wavelets.
Fredholm integral equations, projection method, regularization, quartic B-spline wavele
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Primary Language en Mathematics Mathematics Orcid: 0000-0002-4506-9672Author: Yaser ROSTAMİ Institution: Islamic Azad UniversityCountry: Iran Orcid: 0000-0003-1774-7525Author: Khosrow Maleknejad Institution: Iran University of Science and TechnologyCountry: Iran Publication Date : December 8, 2019
 Bibtex @research article { hujms553433, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2019}, volume = {48}, pages = {1729 - 1743}, doi = {10.15672/hujms.553433}, title = {Solving Fredholm integral equations of the first kind by using wavelet bases}, key = {cite}, author = {ROSTAMİ, Yaser and Maleknejad, Khosrow} } APA ROSTAMİ, Y , Maleknejad, K . (2019). Solving Fredholm integral equations of the first kind by using wavelet bases. Hacettepe Journal of Mathematics and Statistics , 48 (6) , 1729-1743 . DOI: 10.15672/hujms.553433 MLA ROSTAMİ, Y , Maleknejad, K . "Solving Fredholm integral equations of the first kind by using wavelet bases". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1729-1743 Chicago ROSTAMİ, Y , Maleknejad, K . "Solving Fredholm integral equations of the first kind by using wavelet bases". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1729-1743 RIS TY - JOUR T1 - Solving Fredholm integral equations of the first kind by using wavelet bases AU - Yaser ROSTAMİ , Khosrow Maleknejad Y1 - 2019 PY - 2019 N1 - doi: 10.15672/hujms.553433 DO - 10.15672/hujms.553433 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1729 EP - 1743 VL - 48 IS - 6 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.553433 UR - https://doi.org/10.15672/hujms.553433 Y2 - 2018 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Solving Fredholm integral equations of the first kind by using wavelet bases %A Yaser ROSTAMİ , Khosrow Maleknejad %T Solving Fredholm integral equations of the first kind by using wavelet bases %D 2019 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 48 %N 6 %R doi: 10.15672/hujms.553433 %U 10.15672/hujms.553433 ISNAD ROSTAMİ, Yaser , Maleknejad, Khosrow . "Solving Fredholm integral equations of the first kind by using wavelet bases". Hacettepe Journal of Mathematics and Statistics 48 / 6 (December 2019): 1729-1743 . https://doi.org/10.15672/hujms.553433 AMA ROSTAMİ Y , Maleknejad K . Solving Fredholm integral equations of the first kind by using wavelet bases. Hacettepe Journal of Mathematics and Statistics. 2019; 48(6): 1729-1743. Vancouver ROSTAMİ Y , Maleknejad K . Solving Fredholm integral equations of the first kind by using wavelet bases. Hacettepe Journal of Mathematics and Statistics. 2019; 48(6): 1743-1729.