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S. Behera & S. Saha Ray. (2023) A novel method with convergence analysis based on the Jacobi wavelets for solving a system of two-dimensional Volterra integral equations. International Journal of Computer Mathematics 100:3, pages 641-665.
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Khosrow Maleknejad & Ali Hoseingholipour. (2020) The impact of Legendre wavelet collocation method on the solutions of nonlinear system of two-dimensional integral equations. International Journal of Computer Mathematics 97:11, pages 2287-2302.
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Z. Mahmoodi. (2014) Collocation method for solving systems of Fredholm and Volterra integral equations. International Journal of Computer Mathematics 91:8, pages 1802-1816.
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Elçin Yusufoğlu (Agadjanov). (2007) Numerical expansion methods for solving systems of linear integral equations using interpolation and quadrature rules. International Journal of Computer Mathematics 84:1, pages 133-149.
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Articles from other publishers (44)
Zuwen Sun & Natalie Baddour. (2023) Waveform Selection Based on Discrete Prolate Spheroidal Sequences for Near-Optimal SNRs for Photoacoustic Applications. Photonics 10:9, pages 1031.
Crossref
Crossref
Heba M. Arafa & Mohamed A. Ramadan. (2023) Bernoulli wavelet method for numerical solution of linear system of Fredholm integral equation of the second kind. Alexandria Engineering Journal 77, pages 63-74.
Crossref
Crossref
Ahmad Molabahrami, Boualem Khouider & Mohsen Jalalian. (2023) A discrete collocation method based on the radial basis functions for solving system of integral equations of the second kind. Applied Numerical Mathematics 185, pages 278-294.
Crossref
Crossref
Shyam Lal & Satish Kumar. (2021) Approximation of functions by Bernoulli wavelet and its applications in solution of Volterra integral equation of second kind. Arabian Journal of Mathematics 11:2, pages 341-353.
Crossref
Crossref
Ji-Huan He, Mahmoud H. Taha, Mohamed A. Ramadan & Galal M. Moatimid. (2021) Improved Block-Pulse Functions for Numerical Solution of Mixed Volterra-Fredholm Integral Equations. Axioms 10:3, pages 200.
Crossref
Crossref
Samiran Chakraborty, Kapil Kant & Gnaneshwar Nelakanti. (2021) Approximation methods for system of linear Fredholm integral equations of second kind. Applied Mathematics and Computation 403, pages 126173.
Crossref
Crossref
Özgül İLHAN. (2021) AN IMPROVED APPROACH FOR SOLUTIONS OF SYSTEMS OF LINEAR FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS. Mugla Journal of Science and Technology 7:1, pages 83-92.
Crossref
Crossref
斌斌 王. (2021) An Improved Collocation Method for the Second Kind of Nonlinear Volterra Integral Equation Based on Bessel Polynomials. Advances in Applied Mathematics 10:05, pages 1496-1507.
Crossref
Crossref
Omid Baghani. (2020) The rate of convergence of an iterative‐computational algorithm for second‐kind nonlinear Volterra integral equations with weakly singular kernels. Mathematical Methods in the Applied Sciences.
Crossref
Crossref
Mohamed A. Ramadan, Heba S. Osheba & Adel R. Hadhoud. (2020) A Highly Efficient and Accurate Finite Iterative Method for Solving Linear Two-Dimensional Fredholm Fuzzy Integral Equations of the Second Kind Using Triangular Functions. Mathematical Problems in Engineering 2020, pages 1-16.
Crossref
Crossref
Mohamed Ramadan, Heba Oshaba & Radwan Kharabsheh. (2020) Triangular functions based method for the solution of system of linear Fredholm integral equations via an efficient finite iterative algorithm. Journal of Intelligent & Fuzzy Systems 38:3, pages 2847-2858.
Crossref
Crossref
Jafar Biazar & Roya Montazeri. (2019) Optimal Homotopy Asymptotic and Multistage Optimal Homotopy Asymptotic Methods for Solving System of Volterra Integral Equations of the Second Kind. Journal of Applied Mathematics 2019, pages 1-17.
Crossref
Crossref
Jiaquan Xie & Mingxu Yi. (2019) Numerical research of nonlinear system of fractional Volterra–Fredholm integral–differential equations via Block-Pulse functions and error analysis. Journal of Computational and Applied Mathematics 345, pages 159-167.
Crossref
Crossref
Jalil Rashidinia & Mehri Sajjadian. (2018) The Impact of Two Transformations on the Solutions of Second Kind Fredholm Integral Equations System. International Journal of Applied and Computational Mathematics 4:3.
Crossref
Crossref
Farshid Mirzaee & Seyede Fatemeh Hoseini. (2017) A new collocation approach for solving systems of high-order linear Volterra integro-differential equations with variable coefficients. Applied Mathematics and Computation 311, pages 272-282.
Crossref
Crossref
N Z F M Radzuan, M N Suardi & J Sulaiman. (2017) Application of MKSOR iteration with trapezoidal approach for system of Fredholm integral equations of second kind. Journal of Physics: Conference Series 890, pages 012014.
Crossref
Crossref
S. Kheybari, M.T. Darvishi & A.M. Wazwaz. (2017) A semi-analytical algorithm to solve systems of integro-differential equations under mixed boundary conditions. Journal of Computational and Applied Mathematics 317, pages 72-89.
Crossref
Crossref
Mahmood Otadi & Maryam Mosleh. (2016) Simulation and evaluation of interval-valued fuzzy linear Fredholm integral equations with interval-valued fuzzy neural network. Neurocomputing 205, pages 519-528.
Crossref
Crossref
B. N. Mandal & A. Chakrabarti. 2016. Applied Singular Integral Equations. Applied Singular Integral Equations
250
266
.
Farshid Mirzaee & Saeed Bimesl. (2015) Numerical solutions of systems of high-order Fredholm integro-differential equations using Euler polynomials. Applied Mathematical Modelling 39:22, pages 6767-6779.
Crossref
Crossref
Huaixin CAO, Li LI & Baomin YU. (2015) An applicable approximation method and its application. Acta Mathematica Scientia 35:5, pages 1189-1202.
Crossref
Crossref
Şuayip Yüzbaşı. (2015) Numerical solutions of system of linear Fredholm–Volterra integro-differential equations by the Bessel collocation method and error estimation. Applied Mathematics and Computation 250, pages 320-338.
Crossref
Crossref
Farshid Mirzaee & Saeed Bimesl. (2014) A new Euler matrix method for solving systems of linear Volterra integral equations with variable coefficients. Journal of the Egyptian Mathematical Society 22:2, pages 238-248.
Crossref
Crossref
P.K. Sahu & S. Saha Ray. (2014) Numerical solutions for the system of Fredholm integral equations of second kind by a new approach involving semiorthogonal B-spline wavelet collocation method. Applied Mathematics and Computation 234, pages 368-379.
Crossref
Crossref
Farshid Mirzaee & Seyede Fatemeh Hoseini. (2014) Solving systems of linear Fredholm integro-differential equations with Fibonacci polynomials. Ain Shams Engineering Journal 5:1, pages 271-283.
Crossref
Crossref
Hassan A. Zedan & Eman Alaidarous. (2014) Haar Wavelet Method for the System of Integral Equations. Abstract and Applied Analysis 2014, pages 1-9.
Crossref
Crossref
Ülo Lepik & Helle HeinÜlo Lepik & Helle Hein. 2014. Haar Wavelets. Haar Wavelets
59
82
.
Anvarjon A Ahmedov & Mohammad Hasan bin Abd Sathar. (2013) Numerical Integration Of The Integrals Based On Haar Wavelets. Journal of Physics: Conference Series 435, pages 012042.
Crossref
Crossref
Şuayip Yüzbaşı, Mehmet Sezer & Bayram Kemancı. (2013) Numerical solutions of integro-differential equations and application of a population model with an improved Legendre method. Applied Mathematical Modelling 37:4, pages 2086-2101.
Crossref
Crossref
S. Saha Ray & P. K. Sahu. (2013) Numerical Methods for Solving Fredholm Integral Equations of Second Kind. Abstract and Applied Analysis 2013, pages 1-17.
Crossref
Crossref
H. Almasieh & M. Roodaki. (2012) Triangular functions method for the solution of Fredholm integral equations system. Ain Shams Engineering Journal 3:4, pages 411-416.
Crossref
Crossref
M. Roodaki & H. Almasieh. (2012) Delta basis functions and their applications to systems of integral equations. Computers & Mathematics with Applications 63:1, pages 100-109.
Crossref
Crossref
Niyazi Şahı̇n, Şuayip Yüzbaşı & Mustafa Gülsu. (2011) A collocation approach for solving systems of linear Volterra integral equations with variable coefficients. Computers & Mathematics with Applications 62:2, pages 755-769.
Crossref
Crossref
Şuayip Yüzbaşı, Niyazi Şahin & Mehmet Sezer. (2011) Numerical solutions of systems of linear Fredholm integro-differential equations with Bessel polynomial bases. Computers & Mathematics with Applications 61:10, pages 3079-3096.
Crossref
Crossref
Farshid Mirzaee. (2010) Numerical computational solution of the linear Volterra integral equations system via rationalized Haar functions. Journal of King Saud University - Science 22:4, pages 265-268.
Crossref
Crossref
Elçin Yusufoğlu (Agadjanov). (2009) Numerical solving initial value problem for Fredholm type linear integro-differential equation system. Journal of the Franklin Institute 346:6, pages 636-649.
Crossref
Crossref
E. Babolian & A. Shahsavaran. (2009) Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets. Journal of Computational and Applied Mathematics 225:1, pages 87-95.
Crossref
Crossref
Elçin Yusufoğlu & Barış Erbaş. (2008) Numerical expansion methods for solving Fredholm‐Volterra type linear integral equations by interpolation and quadrature rules. Kybernetes 37:6, pages 768-785.
Crossref
Crossref
J. Rashidinia & M. Zarebnia. (2007) Convergence of approximate solution of system of Fredholm integral equations. Journal of Mathematical Analysis and Applications 333:2, pages 1216-1227.
Crossref
Crossref
Xinjian Tang, Zhicheng Pang, Tonglin Zhu & Jian Liu. (2007) Wavelet numerical solutions for weakly singular Fredholm integral equations of the second kind. Wuhan University Journal of Natural Sciences 12:3, pages 437-441.
Crossref
Crossref
K. Maleknejad & M. Karami. (2005) Numerical solution of non-linear Fredholm integral equations by using multiwavelets in the Petrov–Galerkin method. Applied Mathematics and Computation 168:1, pages 102-110.
Crossref
Crossref
K. Maleknejad, M. Shahrezaee & H. Khatami. (2005) Numerical solution of integral equations system of the second kind by Block–Pulse functions. Applied Mathematics and Computation 166:1, pages 15-24.
Crossref
Crossref
K. Maleknejad & F. Mirzaee. (2005) Using rationalized Haar wavelet for solving linear integral equations. Applied Mathematics and Computation 160:2, pages 579-587.
Crossref
Crossref
K. Maleknejad, F. Mirzaee & S. Abbasbandy. (2004) Solving linear integro-differential equations system by using rationalized Haar functions method. Applied Mathematics and Computation 155:2, pages 317-328.
Crossref
Crossref