[1]
|
Delves, L.M. and Mohamed, J.L. (1985) Computational Methods for Integral Equations. Cambridge University Press, Cambridge. http://dx.doi.org/10.1017/CBO9780511569609
|
[2]
|
Liz, E. and Nieto, J.J. (1996) Boundary Value Problems for Second Order Integro-Differential Equations of Fredholm Type. Journal of Computational and Applied Mathematics, 72, 215-225. http://dx.doi.org/10.1016/0377-0427(95)00273-1
|
[3]
|
Zhao, J. and Corless, R.M. (2006) Compact Finite Difference Method Has Been Used for Integro-Differential Equations. Applied Mathematics and Computation, 177, 271-288. http://dx.doi.org/10.1016/j.amc.2005.11.007
|
[4]
|
Ortiz, E.L. and Samara, L. (1981) An Operational Approach to the Tau Method for the Numerical Solution of Nonlinear Differential Equations. Computing, 27, 15-25. http://dx.doi.org/10.1007/BF02243435
|
[5]
|
Chang, S.H. (1982) On Certain Extrapolation Methods for the Numerical Solution of Integro-Differential Equations. Mathematics of Computation, 39, 165-171. http://dx.doi.org/10.1090/S0025-5718-1982-0658220-4
|
[6]
|
Yalcinbas, S. (2002) Taylor Polynomial Solutions of Nonlinear Volterra-Fredholm Integral Equations. Applied Mathematics and Computation, 127, 195-206. http://dx.doi.org/10.1016/S0096-3003(00)00165-X
|
[7]
|
Phillips, D.L. (1962) A Technique for the Numerical Solution of Certain Integral Equations of the First Kind. Journal of the ACM, 9, 84-96. http://dx.doi.org/10.1145/321105.321114
|
[8]
|
Tikhonov, A.N. (1963) On the Solution of Incorrectly Posed Problem and the Method of Regularization. Soviet Mathematics, 4, 1035-1038.
|
[9]
|
He, J.H. (2000) Variational Iteration Method for Autonomous Ordinary Differential Systems. Applied Mathematics and Computation, 114, 115-123. http://dx.doi.org/10.1016/S0096-3003(99)00104-6
|
[10]
|
Wazwaz, A.M. (1999) A Reliable Modification of the Adomian Decomposition Method. Applied Mathematics and Computation, 102, 77-86. http://dx.doi.org/10.1016/S0096-3003(98)10024-3
|
[11]
|
Saadati, R., Raftari, B., Abibi, H., Vaezpour, S.M. and Shakeri, S. (2008) A Comparison between the Variational Iteration Method and Trapezoidal Rule for Solving Linear Integro-Differential Equations. World Applied Sciences Journal, 4, 321-325.
|
[12]
|
Hu, S., Wan, Z. and Khavanin, M. (1987) On the Existence and Uniqueness for Nonlinear Integro-Differential Equations. Journal of Mathematical and Physical Sciences, 21, 93-103.
|
[13]
|
Hairer, E., Nørsett, S.P. and Wanner, G. (1993) Solving Ordinary Differential Equations I Nonstiff Problems (Second Revised Edition). Springer-Verlag, New York.
|
[14]
|
Van Niekerk, F.D. (1988) Rational One Step Method for Initial Value Problem. Computers & Mathematics with Applications, 16, 1035-1039. http://dx.doi.org/10.1016/0898-1221(88)90259-3
|
[15]
|
Pandey, P.K. (2013) Nonlinear Explicit Method for First Order Initial Value Problems. Acta Technica Jaurinensis, 6, 118-125.
|
[16]
|
Ramos, H. (2007) A Non-Standard Explicit Integration Scheme for Initial Value Problems. Applied Mathematics and Computation, 189, 710-718. http://dx.doi.org/10.1016/j.amc.2006.11.134
|
[17]
|
Jain, M.K., Iyenger, S.R.K. and Jain, R.K. (1987) Numerical Methods for Scientific and Engineering Computation. Willey Eastern Limited, New Delhi.
|
[18]
|
Lambert, J.D. (1991) Numerical Methods for Ordinary Differential Systems. Wiley, England.
|
[19]
|
Pandey, P.K. (2013) A Non-Classical Finite Difference Method for Solving Two Point Boundary Value Problems. Pacific Journal of Science and Technology, 14, 147-152.
|
[20]
|
Varga, R.S. (2000) Matrix Iterative Analysis, Second Revised and Expanded Edition. Springer-Verlag, Heidelberg. http://dx.doi.org/10.1007/978-3-642-05156-2
|
[21]
|
Henrici, P. (1982) Discrete Variable Methods in Ordinary Differential Equations. John Wiley and Sons, New York.
|
[22]
|
Volkov, Y.S. and Miroshnichenko, V.L. (2009) Norm Estimates for the Inverses of Matrices of Monotone Type and Totally Positive Matrics. Siberian Mathematical Journal, 50, 982-987. http://dx.doi.org/10.1007/s11202-009-0108-2
|
[23]
|
Varah, J.M. (1975) A Lower Bound for the Smallest Singular Value of a Matrix. Linear Algebra and Its Applications, 11, 3-5. http://dx.doi.org/10.1016/0024-3795(75)90112-3
|
[24]
|
Ahlberg, J.H. and Nilson, E.N. (1963) Convergence Properties of the Spline Fit. Journal of the Society for Industrial and Applied Mathematics, 11, 95-104. http://dx.doi.org/10.1137/0111007
|
[25]
|
Horn, R.A. and Johnson, C.R. (1990) Matrix Analysis. Cambridge University Press, New York.
|
[26]
|
Shaw, R.E., Garey, L.E. and Lizotte, D.J. (2001) A Parrllel Numerical Algorithm for Fredholm Integro-Differential Two Point Boundary Value Problems. International Journal of Computer Mathematics, 77, 305-318. http://dx.doi.org/10.1080/00207160108805067
|