References
- Levin JJ, Nohel JA. On a system of integro-differential equations occurring in reactor dynamics. J. Math. Mech. 1960;9:347–368.
- Miller RK. On a system of integro-differential equations occurring in reactor dynamics. SIAM J. Appl. Math. 1966;14:446–452.
- Cioica PA, Dahlke S. Spatial Besov regularity for semilinear stochastic partial differential equations on bounded Lipschitz domains. Int. J. Comput. Math. 2012;89:2443–2459.
- Khodabin M, Maleknejad K, Rostami M, et al. Interpolation solution in generalized stochastic exponential population growth model. Appl. Math. Model. 2012;36:1023–1033.
- Oguztöreli MN. Time-lag control systems. New York (NY): Academic Press; 1966.
- Stratonovich RL. A new representation for stochastic integrals and equations. SIAM J. Control. 1966;4:362–371.
- Fisk DL. Quasi-martingales and stochastic integrals. Michigan State University East Lansing; 1963.
- Yang H, Toh TL. On Henstock method to Stratonovich integral with respect to continuous semimartingale. Int J. Stoch. Anal. 2014;2014:1–8.
- Ozak MMD. Nonstandard definition of the Stratonovich integral. Revi. Colom. de Est. 1998;22:17–25.
- Bayer C. The geometry of iterated Stratonovich integrals. Forthcoming 2006.
- Wasilkowski GW, Wozniakowski H. On the complexity of stochastic integration. Math. Comp. 2000;70:685–698.
- Brunner H. Collocation methods for Volterra integral and related functional equations. Vol. 15, Cambridge monographs on applied and computational mathematics. Cambridge: Cambridge University Press; 2004.
- Brunner H. High-order collocation methods for singular Volterra functional equations of neutral type. Appl. Numer. Math. 2007;57:533–548.
- Brunner H, Pedas A, Vainikko G. A spline collocation method for linear Volterra integro-differential equations with weakly singular kernels. BIT Numerical Mathematics. 2001;41:891-900.
- Costarelli D, Spigler R. Solving Volterra integral equations of the second kind by sigmoidal functions approximation. J. Integral Equ. Appl. 2013;25:193–222.
- Costarelli D, Spigler R. A collocation method for solving nonlinear Volterra integro-differential equations of the neutral type by sigmoidal functions. J. Integral Equ. Appl. 2014;26:15–52.
- Atkinson KE. The numerical solution of integral equations of the second kind. Vol. 4, Cambridge monographs on applied and computational mathematics. Cambridge: Cambridge University Press; 1997.
- Maleknejad K, Hashemizadeh E, Ezzati R. A new approach to the numerical solution of Volterra integral equations by using Bernstein’s approximation. Commun. Nonlinear Sci. Numer. Simul. 2011;16:647–655.
- Maleknejad K, Najafi E. Numerical solution of nonlinear Volterra integral equations using the idea of quasilinearization. Commun. Nonlinear Sci. Numer. Simul. 2011;16:93–100.
- Lehmer DH. A new approach to Bernoulli polynomials. Am. Math. Monthly. 1998;95:905–911.
- Bhrawy AH, Tohidi E, Soleymani F. A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals. Appl. Math. Comput. 2012;219:482–497.
- Tohidi E, Bhrawy AH, Erfani K. A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation. Appl. Math. Model. 2013;37:4283–4294.
- Bazm S. Bernoulli polynomials for the numerical solution of some classes of linear and nonlinear integral equations. J. Comput. Appl. Math. 2015;275:44–60.
- Oksendal B. Stochastic differential equations, an introduction with applications. 5th ed. New York (NY): Springer-Verlag; 1998.
- Mirzaee F, Hadadiyan E, Bimesl S. Numerical solution for three-dimensional nonlinear mixed Volterra-Fredholm integral equations via three-dimensional block-pulse functions. Appl. Math. Comput. 2014;237:168–175.