257
Views
23
CrossRef citations to date
0
Altmetric
Miscellany

Solving linear integro-differential equation with Legendre wavelets

&
Pages 719-726 | Received 27 Aug 2003, Published online: 25 Jan 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (3)

S. C. Shiralashetti & S. Kumbinarasaiah. (2019) CAS wavelets analytic solution and Genocchi polynomials numerical solutions for the integral and integro-differential equations. Journal of Interdisciplinary Mathematics 22:3, pages 201-218.
Read now
Siraj-ul-Islam, Imran Aziz & Muhammad Fayyaz. (2013) A new approach for numerical solution of integro-differential equations via Haar wavelets. International Journal of Computer Mathematics 90:9, pages 1971-1989.
Read now
M. Tavassoli Kajani, A. Hadi Vencheh & M. Ghasemi. (2009) The Chebyshev wavelets operational matrix of integration and product operation matrix. International Journal of Computer Mathematics 86:7, pages 1118-1125.
Read now

Articles from other publishers (20)

Arash Goligerdian & Mahmood Khaksar-e Oshagh. (2024) The numerical solution of a time-delay model of population growth with immigration using Legendre wavelets. Applied Numerical Mathematics 197, pages 243-257.
Crossref
Pooja Yadav, Shah Jahan & K. S. Nisar. (2023) Fibonacci Wavelet Collocation Method for Fredholm Integral Equations of Second Kind. Qualitative Theory of Dynamical Systems 22:2.
Crossref
Devendra Kumar, Komal Deswal & Satpal Singh. (2022) Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations. Computational and Applied Mathematics 41:8.
Crossref
Renjun Qiu, Xiaojun Duan, Qizi Huangpeng & Liang Yan. (2022) The best approximate solution of Fredholm integral equations of the first kind via Gaussian process regression. Applied Mathematics Letters 133, pages 108272.
Crossref
İbrahim Çelik. (2021) Jacobi wavelet collocation method for the modified Camassa–Holm and Degasperis–Procesi equations. Engineering with Computers 38:S3, pages 2271-2287.
Crossref
Renjun Qiu, Liang Yan & Xiaojun Duan. (2022) Solving Fredholm integral equation of the first kind using Gaussian process regression. Applied Mathematics and Computation 425, pages 127032.
Crossref
Attaullah, Sultan Alyobi & Mansour F. Yassen. (2022) A study on the transmission and dynamical behavior of an HIV/AIDS epidemic model with a cure rate. AIMS Mathematics 7:9, pages 17507-17528.
Crossref
Chuanhua Wu & Ziqiang Wang. (2022) The spectral collocation method for solving a fractional integro-differential equation. AIMS Mathematics 7:6, pages 9577-9587.
Crossref
Qun Dai & Shidong Liu. (2022) Stability of the mixed Caputo fractional integro-differential equation by means of weighted space method. AIMS Mathematics 7:2, pages 2498-2511.
Crossref
D. Shirani, M. Tavassoli Kajani & S. Salahshour. (2022) Numerical solution of system of Fredholm-Volterra integro-differential equations using Legendre polynomials. Filomat 36:5, pages 1685-1697.
Crossref
M. Salai Mathi Selvi, L. Rajendran & Marwan Abukhaled. (2021) Estimation of Rolling Motion of Ship in Random Beam Seas by Efficient Analytical and Numerical Approaches. Journal of Marine Science and Application 20:1, pages 55-66.
Crossref
A. Karimi Dizicheh, S. Salahshour, A. Ahmadian & D. Baleanu. (2020) A novel algorithm based on the Legendre wavelets spectral technique for solving the Lane–Emden equations. Applied Numerical Mathematics 153, pages 443-456.
Crossref
Maryam Bahmanpour, Majid Tavassoli Kajani & Mohammad Maleki. (2019) Solving Fredholm integral equations of the first kind using Müntz wavelets. Applied Numerical Mathematics 143, pages 159-171.
Crossref
Mojgan Ghabarpoor, Majid Tavassoli Kajani & Masoud Allame. (2019) A collocation method for differential equations with one‐point Taylor initial conditions. Mathematical Methods in the Applied Sciences 42:5, pages 1609-1621.
Crossref
İbrahim Çelik. (2018) Generalization of Gegenbauer Wavelet Collocation Method to the Generalized Kuramoto–Sivashinsky Equation. International Journal of Applied and Computational Mathematics 4:5.
Crossref
Muhammad Sohaib, Sirajul Haq, Safyan Mukhtar & Imad Khan. (2018) Numerical solution of sixth-order boundary-value problems using Legendre wavelet collocation method. Results in Physics 8, pages 1204-1208.
Crossref
M. Erfanian, M. Gachpazan & H. Beiglo. (2017) A new sequential approach for solving the integro-differential equation via Haar wavelet bases. Computational Mathematics and Mathematical Physics 57:2, pages 297-305.
Crossref
Naima Ablaoui-Lahmar, Omar Belhamiti & Sidi Mohammed Bahri. (2014) A new Legendre wavelets decomposition method for solving PDEs. Malaya Journal of Matematik 2:01, pages 72-81.
Crossref
A. Karimi Dizicheh, F. Ismail, M. Tavassoli Kajani & Mohammad Maleki. (2013) A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems. Journal of Applied Mathematics 2013, pages 1-5.
Crossref
M. Ghasemi & M. Tavassoli Kajani. (2011) Numerical solution of time-varying delay systems by Chebyshev wavelets. Applied Mathematical Modelling 35:11, pages 5235-5244.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.