Evaluating the solution for second kind nonlinear Volterra Fredholm integral equations using hybrid method
Subject Areas : Applied MathematicsAhmad Shahsavaran 1 , Akbar Shahsavaran 2
1 - Islamic Azad University, Boroujerd Branch, Boroujerd, Iran.
2 - Islamic Azad University, Boroujerd Branch, Boroujerd, Iran.
Keywords:
Abstract :
[1] E. Babolian, A. Shahsavaran, Numerical solution of nonlinear Fredholm
integral equations of the second kind using Haar wavelets, J. Comput. Appl.
Math. 225 (2009) 87{95.
[2] C. F. Chen, C. H. Hsiao, Haar wavelet method for solving lumped and
distributed-parameter systems, IEE Proc. Control Theory Appl. 144 (1997)
87{94.
[3] M. Ghasemi, A. Azizi and M. Fardi, Numerical solution of seven order
Sawada Kotara equations by homotopy perturbation method, Mathematics
Scientic Journal 1 (2011) 69{77.
[4] L. Hooshangian, D. Mirzaei, A Legendre spectral scheme for solution
of nonlinear system of Volterra Fredholm integral equations, Mathematics
Scientic Journal 1 (2012) 1{14.
[5] U. Lepik, E. Tamme, Application of the Haar wavelets for solution of linear
integral equations, in:Dynamical systems and applications 1 (2005) 395{407.
[6] K. Maleknejad, T. Lot, Numerical expansion method for solving integral
equation by interpolation and Gauss quadrature rules, Appl. Math. Comput.
168 (2005) 111{124.
[7] K. Maleknejad, M. T. Kajani, Y. Mahmoudi, Numerical solution of the
second kind integral equation by using Legendre wavelets, J. Kybornet In
press.
[8] K. Maleknejad, M. Karami, Numerical solution of non-linear Fredholm
integral Equations by using multiwavelet in Petrov-Galerkin method, Appl.
Math. Comput. 168 (2005) 102{110.
[9] K. Maleknejad, Y. Mahmoudi, Numerical solution of linear Fredholm
integral equation by using hybrid Taylor and Block-Pulse functions, Appl.
Math. Comput. 149 (2004) 799{806.
[10] K. Maleknejad, M. Shahrezaee, Using Runge-Kutta method for numerical
solution of the system of Volterra integral equation, Appl. Math. Comput.
149 (2004) 399-410.
[11] K. Maleknejad, M. T. Kajani, Solving second kind integral equations by
Galerkin method with hybrid Legendre and Block-Pulse functions, Appl.
Math. Comput. 145 (2003) 623{629.
[12] Y. Mahmoudi, Wavelet Galerkin method for numerical solution of
nonlinear integral equation, Appl. Math. Comput. 167 (2005) 1119{1129.
[13] K. Maleknejad, F. Mirzaee, Using rationalized Haar wavelet for solving
linear integral equations, Appl. Math. Comput. 160 (2005) 579{587.
[14] K. Maleknejad, F. Mirzaee, Numerical solution of linear Fredholm integral
equations system by rationalized Haar functions method, Int. J. Comput.
Math. 8 (2003) 1397{1405.
[15] A. Shahsavaran, Numerical solution of linear Volterra and Fredholm
integro dierential equations using Haar wavelets, Mathematics Scientic
Journal 1 (2010) 85{96.
[16] C. P. Rao, Piecewise constant orthogonal functions and their applications
to system and control, Springer, Berlin 1983.
[17] P. Wojtaszczyk, A mathematical introduction to wavelets, Cambridge
University Press 1997.