References
- Agarwal , R. P. 2000 . Difference Equations and Inequalities , New York : Markel Dekker Inc .
- Bain , M. and Delves , L. M. 1977 . The convergence rates of expansions in Jacobi polynomials . Numer. Math. , 27 : 219 – 225 . (doi:10.1007/BF01396642)
- Baker , C. T.H. 1977 . The Numerical Treatment of Integral Equations , Oxford : Clarendon Press .
- Bartoshevich , M. A. 1975 . On a heat conduction problem . Inz h-Fiz. Zh. , 28 : 340 – 346 .
- Brunner , H. 1984 . On the discretization of Volterra integral equations . Nieuw Arch. Wisk. , 4 : 189 – 217 .
- Brunner , H. 1986 . On the history of numerical methods for Volterra integral equations . CWI Newslett. , 11 : 3 – 20 .
- Brunner , H. 2004 . Collocation Methods for Volterra Integral and Related Functional Equations , New York : Cambridge University Press .
- Brunner , H. and van der Houwen , P. J. 1986 . The Numerical Solution of Volterra Equations , Vol. 3 , Amsterdam : North-Holland . CWI Monographs
- Datta , B. 1995 . Numerical Linear Algebra and Applications , Pacific Grove , CA : Brooks/Cole Publishing Company .
- Davis , P. J. 1975 . Interpolation and Approximation , New York : Dover Publications .
- Delves , L. M. and Freeman , T. L. 1981 . Analysis of Global Expansion Methods: Weakly Asymptotically Diagonal Systems , London : Academic Press .
- Delves , L. M. and Mohamed , J. L. 1985 . Computational Methods for Integral Equations , New York : Cambridge University Press .
- Ding , H. J. , Wang , H. M. and Chen , W. Q. 2003 . Analytical solution for the electroelastic dynamics of a nonhomogeneous spherically isotropic piezoelectric hollow sphere . Arch. Appl. Mech. , 73 : 49 – 62 . (doi:10.1007/s00419-002-0244-7)
- Galdi , G. P. , Pileckas , K. and Silvestre , A. L. 2007 . On the unsteady Poiseuille flow in a pipe . Z Angew. Math. Phys. , 58 : 994 – 1007 . (doi:10.1007/s00033-006-6114-3)
- Hetmaniok , E. , Slota , D. and Witula , R. 2012 . Convergence and error estimation of homotopy perturbation method for Fredholm and Volterra integral equations . Appl. Math. Comput. , 218 : 10717 – 10725 . (doi:10.1016/j.amc.2012.04.041)
- Hsiao , C. H. 2009 . Hybrid function method for solving Fredholm and Volterra integral equations of the second kind . J. Comput. Appl. Math. , 230 : 59 – 68 . (doi:10.1016/j.cam.2008.10.060)
- Izzo , G. , Jackiewicz , Z. , Messina , E. and Vecchio , A. 2010 . General linear methods for Volterra integral equations . J. Comput. Appl. Math. , 234 : 2768 – 2782 . (doi:10.1016/j.cam.2010.01.023)
- Izzo , G. , Russo , E. and Chiapparelli , C. 2012 . Highly stable Runge–Kutta methods for Volterra integral equations . Appl. Numer. Math. , 62 : 1002 – 1013 . (doi:10.1016/j.apnum.2012.03.007)
- Linz , P. 1985 . Analytical and Numerical Methods for Volterra Equations , Philadelphia : SIAM .
- Maleknejad , K. and Alizadeh , M. 2009 . Volterra type integral equation by the Whittaker Cardinal expansion . Open Cybern. Systemics J. , 3 : 1 – 4 .
- Maleknejad , K. , Sohrabi , S. and Rostami , Y. 2007 . Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials . Appl. Math. Comput. , 188 : 123 – 128 . (doi:10.1016/j.amc.2006.09.099)
- Porter , D. and Stirling , D. S.G. 1990 . Integral Equations: A Practical Treatment, from Spectral Theory to Applications , Cambridge : Cambridge University Press .
- Reihani , M. H. and Abadi , Z. 2007 . Rationalized Haar functions method for solving Fredholm and Volterra integral equations . J. Comput. Appl. Math. , 200 : 12 – 20 . (doi:10.1016/j.cam.2005.12.026)
- Wazwaz , A. M. 1996 . Two methods for solving integral equations . Appl. Math. Comput. , 77 : 79 – 89 . (doi:10.1016/0096-3003(95)00189-1)