445
Views
54
CrossRef citations to date
0
Altmetric
Original Articles

Chebyshev finite difference method for Fredholm integro-differential equation

&
Pages 123-130 | Received 14 Oct 2006, Accepted 25 Mar 2007, Published online: 31 Dec 2007

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

Read on this site (5)

R. Jalilian & T. Tahernezhad. (2020) Exponential spline method for approximation solution of Fredholm integro-differential equation. International Journal of Computer Mathematics 97:4, pages 791-801.
Read now
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
Hassan Khan, Muhammad Arif, Syed Tauseef Mohyud-Din & Samia Bushnaq. (2018) Numerical solutions to systems of fractional Voltera Integro differential equations, using Chebyshev wavelet method. Journal of Taibah University for Science 12:5, pages 584-591.
Read now
Andreas Kleefeld. (2011) Numerical results for linear Fredholm integral equations of the first kind over surfaces in three dimensions. International Journal of Computer Mathematics 88:13, pages 2728-2742.
Read now
Mehrdad Lakestani & Mehdi Dehghan. (2010) Numerical solution of fourth-order integro-differential equations using Chebyshev cardinal functions. International Journal of Computer Mathematics 87:6, pages 1389-1394.
Read now

Articles from other publishers (49)

Ruimin Zhang & Yingzhen Lin. (2023) A new algorithm of boundary value problems based on improved wavelet basis and the reproducing kernel theory. Mathematical Methods in the Applied Sciences 47:1, pages 47-57.
Crossref
Francisco J. Solis & Luz M. Gonzalez. (2023) A nonlinear transport–diffusion model for the interactions between immune system cells and HPV-infected cells. Nonlinear Dynamics 111:16, pages 15557-15571.
Crossref
Kazeem Issa, Steven Ademola Olorunnisola, Tajudeen Aliu & Adeshola Adeniran Dauda. (2023) Approximate solution of space fractional order diffusion equations by Gegenbauer collocation and compact finite difference scheme. Journal of the Nigerian Society of Physical Sciences, pages 1368.
Crossref
Amira Abd-Elall Ibrahim, Afaf A. S. Zaghrout, K. R. Raslan & Khalid K. Ali. (2023) On study of the coupled system of nonlocal fractional q-integro-differential equations. International Journal of Modeling, Simulation, and Scientific Computing 14:02.
Crossref
Kourosh Parand, Alireza Afzal Aghaei, Mostafa Jani & Reza Sahleh. 2023. Learning with Fractional Orthogonal Kernel Classifiers in Support Vector Machines. Learning with Fractional Orthogonal Kernel Classifiers in Support Vector Machines 199 224 .
Muhammet Enes DURMAZ, Musa ÇAKIR & Gabil AMİRALİ. (2022) Parameter uniform second-order numerical approximation for the integro-differential equations involving boundary layers. Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 71:4, pages 954-967.
Crossref
Amira Abd-Elall Ibrahim, Afaf A. S. Zaghrout, K. R. Raslan & Khalid K. Ali. (2022) On the analytical and numerical study for fractional q-integrodifferential equations. Boundary Value Problems 2022:1.
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
Rogério Martins Saldanha da Gama & Rogério Pazetto Saldanha da Gama. (2022) A Procedure for Constructing the Solution of a Nonlinear Fredholm Integro-Differential Equation of Second Order. Axioms 11:12, pages 672.
Crossref
M. Mahmoudi, M. Ghovatmand & M. H. Noori Skandari. (2022) Solving a class of nonlinear delay Fredholm integro-differential equations with convergence analysis. Mathematical Modeling and Computing 9:2, pages 375-384.
Crossref
Yalçın Öztürk & Atılım Ilker Demir. (2021) A spectral collocation matrix method for solving linear Fredholm integro-differential–difference equations. Computational and Applied Mathematics 40:6.
Crossref
Reena Koundal, Rakesh Kumar, Ravinder Kumar, K. Srivastava & D. Baleanu. (2021) A Novel Collocated-Shifted Lucas Polynomial Approach for Fractional Integro-Differential Equations. International Journal of Applied and Computational Mathematics 7:4.
Crossref
A. M. S. Mahdy, K. A. Gepreel, Kh. Lotfy & A. A. El-Bary. (2021) A numerical method for solving the Rubella ailment disease model. International Journal of Modern Physics C 32:07, pages 2150097.
Crossref
A.M.S. Mahdy, M.S. Mohamed, Kh. Lotfy, M. Alhazmi, A.A. El-Bary & M.H. Raddadi. (2021) Numerical solution and dynamical behaviors for solving fractional nonlinear Rubella ailment disease model. Results in Physics 24, pages 104091.
Crossref
Mohammed Abdelhadi Sarhan, Suha SHIHAB & Mohammed RASHEED. (2021) A Novel Spectral Modified Pell Polynomials for Solving Singular Differential Equations. Al-Mustansiriyah Journal of Science 32:1, pages 18-24.
Crossref
Taherh Tahernezhad & Reza Jalilian. (2020) Exponential spline for the numerical solutions of linear Fredholm integro-differential equations. Advances in Difference Equations 2020:1.
Crossref
Yaqin Zheng, Yingzhen Lin & Yang Shen. (2020) A new multiscale algorithm for solving second order boundary value problems. Applied Numerical Mathematics 156, pages 528-541.
Crossref
Kenzu Abdella & Glen Ross. (2020) Solving Integro-Differential Boundary Value Problems Using Sinc-Derivative Collocation. Mathematics 8:9, pages 1637.
Crossref
Rahul Kumar Maurya, Vinita Devi, Nikhil Srivastava & Vineet Kumar Singh. (2020) An efficient and stable Lagrangian matrix approach to Abel integral and integro-differential equations. Applied Mathematics and Computation 374, pages 125005.
Crossref
Jian Chen, Minfan He & Yong Huang. (2020) A fast multiscale Galerkin method for solving second order linear Fredholm integro-differential equation with Dirichlet boundary conditions. Journal of Computational and Applied Mathematics 364, pages 112352.
Crossref
S.Y. Lian, Z.J. Wang, C.L. Wang, X.L. Yan, F.R. Lin, J.Y. Wang & C.K. Xu. (2019) Deconvolution method for obtaining directly the original in-depth distribution of composition from measured sputter depth profile. Vacuum 166, pages 196-200.
Crossref
Azizallah Alvandi & Mahmoud Paripour. (2019) The combined reproducing kernel method and Taylor series for handling nonlinear Volterra integro-differential equations with derivative type kernel. Applied Mathematics and Computation 355, pages 151-160.
Crossref
Ömür Kıvanç Kürkçü, Ersin Aslan, Mehmet Sezer & Özgül İlhan. (2018) A Numerical Approach Technique for Solving Generalized Delay Integro-Differential Equations with Functional Bounds by Means of Dickson Polynomials. International Journal of Computational Methods 15:05, pages 1850039.
Crossref
T.A. El-Sayed & H.H. El-Mongy. (2018) Application of variational iteration method to free vibration analysis of a tapered beam mounted on two-degree of freedom subsystems. Applied Mathematical Modelling 58, pages 349-364.
Crossref
Farhad Fakhar-Izadi & Mehdi Dehghan. (2018) Fully spectral collocation method for nonlinear parabolic partial integro-differential equations. Applied Numerical Mathematics 123, pages 99-120.
Crossref
M.M.R. Williams & M.D. Eaton. (2018) Spatial effects in low neutron source start-up and associated stochastic phenomena. Annals of Nuclear Energy 111, pages 616-634.
Crossref
Fu-Rong Lin & Shi-Wei Yang. (2017) A Two-Stage Method for Piecewise-Constant Solution for Fredholm Integral Equations of the First Kind. Mathematics 5:2, pages 28.
Crossref
Abbas Saadatmandi, Zeinab Sanatkar & Seyed Pendar Toufighi. (2017) Computational methods for solving the steady flow of a third grade fluid in a porous half space. Applied Mathematics and Computation 298, pages 133-140.
Crossref
Syed Tauseef Mohyud-Din, Hassan Khan, Muhammad Arif & Muhammad Rafiq. (2017) Chebyshev wavelet method to nonlinear fractional Volterra–Fredholm integro-differential equations with mixed boundary conditions. Advances in Mechanical Engineering 9:3, pages 168781401769480.
Crossref
P. K. Sahu & S. Saha Ray. (2017) Chebyshev wavelet method for numerical solutions of integro-differential form of Lane–Emden type differential equations. International Journal of Wavelets, Multiresolution and Information Processing 15:02, pages 1750015.
Crossref
Amr M. S. Mahdy & N. A. H. Mukhtar. (2017) Second Kind Shifted Chebyshev Polynomials for Solving the Model Nonlinear ODEs. American Journal of Computational Mathematics 07:04, pages 391-401.
Crossref
Z. K. Eshkuvatov, M. Kammuji, N. M. A. Nik Long & Arif A. M. Yunus. Effective quadrature formula in solving linear integro-differential equations of order two. Effective quadrature formula in solving linear integro-differential equations of order two.
M. Mustafa Bahşı, Ayşe Kurt Bahşı, Mehmet Çevik & Mehmet Sezer. (2016) Improved Jacobi matrix method for the numerical solution of Fredholm integro-differential-difference equations. Mathematical Sciences 10:3, pages 83-93.
Crossref
Rajesh K. Pandey, Shiva Sharma & Kamlesh Kumar. (2016) Collocation method for Generalized Abel’s integral equations. Journal of Computational and Applied Mathematics 302, pages 118-128.
Crossref
S.Yu. Reutskiy. (2016) The backward substitution method for multipoint problems with linear Volterra–Fredholm integro-differential equations of the neutral type. Journal of Computational and Applied Mathematics 296, pages 724-738.
Crossref
N.H. Sweilam, A.M. Nagy & Adel A. El-Sayed. (2016) On the numerical solution of space fractional order diffusion equation via shifted Chebyshev polynomials of the third kind. Journal of King Saud University - Science 28:1, pages 41-47.
Crossref
Jian Chen, Yong Huang, Haiwu Rong, Tingting Wu & Taishan Zeng. (2015) A multiscale Galerkin method for second-order boundary value problems of Fredholm integro-differential equation. Journal of Computational and Applied Mathematics 290, pages 633-640.
Crossref
N.H. Sweilam, A.M. Nagy & Adel A. El-Sayed. (2015) Second kind shifted Chebyshev polynomials for solving space fractional order diffusion equation. Chaos, Solitons & Fractals 73, pages 141-147.
Crossref
S.H. Behiry. (2014) RETRACTED: Solution of nonlinear Fredholm integro-differential equations using a hybrid of block pulse functions and normalized Bernstein polynomials. Journal of Computational and Applied Mathematics 260, pages 258-265.
Crossref
W. M. Abd-Elhameed, E. H. Doha & Y. H. Youssri. (2013) New Spectral Second Kind Chebyshev Wavelets Algorithm for Solving Linear and Nonlinear Second-Order Differential Equations Involving Singular and Bratu Type Equations. Abstract and Applied Analysis 2013, pages 1-9.
Crossref
Z. Pashazadeh Atabakan, A. Kazemi Nasab & A. Kılıçman. (2013) On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method. Abstract and Applied Analysis 2013, pages 1-11.
Crossref
S. H. Behiry. (2013) Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials. Abstract and Applied Analysis 2013, pages 1-8.
Crossref
Seydi Battal Gazi Karakoç, Aytekin Eryılmaz & Musa Başbük. (2013) The Approximate Solutions of Fredholm Integrodifferential-Difference Equations with Variable Coefficients via Homotopy Analysis Method. Mathematical Problems in Engineering 2013, pages 1-7.
Crossref
Amjad Alipanah & Mehdi Dehghan. (2011) A pseudospectral method for the solution of second-order integro-differential equations. Journal of Vibration and Control 17:14, pages 2158-2163.
Crossref
Mehrdad Lakestani, Mahmood Jokar & Mehdi Dehghan. (2011) Numerical solution of n th-order integro-differential equations using trigonometric wavelets . Mathematical Methods in the Applied Sciences 34:11, pages 1317-1329.
Crossref
Farhad Fakhar-Izadi & Mehdi Dehghan. (2011) The spectral methods for parabolic Volterra integro-differential equations. Journal of Computational and Applied Mathematics 235:14, pages 4032-4046.
Crossref
Mehrdad Lakestani, Behzad Nemati Saray & Mehdi Dehghan. (2011) Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets. Journal of Computational and Applied Mathematics 235:11, pages 3291-3303.
Crossref
Abbas Saadatmandi & Mehdi Dehghan. (2010) Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients. Computers & Mathematics with Applications 59:8, pages 2996-3004.
Crossref
R.K. Mohanty & Deepika Dhall. (2009) Third order accurate variable mesh discretization and application of TAGE iterative method for the non-linear two-point boundary value problems with homogeneous functions in integral form. Applied Mathematics and Computation 215:6, pages 2024-2034.
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.