TY - JOUR AU - McLean, W. AU - Mustapha, K. PY - 2007 DA - 2007// TI - A second-order accurate numerical method for a fractional wave equation JO - Numer. Math. VL - 105 UR - https://doi.org/10.1007/s00211-006-0045-y DO - 10.1007/s00211-006-0045-y ID - McLean2007 ER - TY - JOUR AU - McLean, W. AU - Thomée, V. AU - Wahlbin, L. B. PY - 1996 DA - 1996// TI - Discretization with variable time steps of an evolution equation with a positive-type memory term JO - J. Comput. Appl. Math. VL - 69 UR - https://doi.org/10.1016/0377-0427(95)00025-9 DO - 10.1016/0377-0427(95)00025-9 ID - McLean1996 ER - TY - JOUR AU - McLean, W. AU - Thomée, V. PY - 1993 DA - 1993// TI - Numerical solution of an evolution equation with a positive-type memory term JO - ANZIAM J. VL - 35 ID - McLean1993 ER - TY - JOUR AU - Schneider, W. AU - Wyss, W. PY - 1989 DA - 1989// TI - Fractional diffusion and wave equations JO - J. Math. Phys. VL - 30 UR - https://doi.org/10.1063/1.528578 DO - 10.1063/1.528578 ID - Schneider1989 ER - TY - BOOK AU - Renardy, M. AU - Nohel, J. A. PY - 1987 DA - 1987// TI - Mathematical Problems in Viscoelasticity PB - Longman CY - Harlow ID - Renardy1987 ER - TY - JOUR AU - Yanik, E. G. AU - Fairweather, G. PY - 1988 DA - 1988// TI - Finite element methods for parabolic and hyperbolic partial integro-differential equations JO - Nonlinear Anal., Theory Methods Appl. VL - 12 UR - https://doi.org/10.1016/0362-546X(88)90039-9 DO - 10.1016/0362-546X(88)90039-9 ID - Yanik1988 ER - TY - JOUR AU - Fakhar-Izadi, F. AU - Dehghan, M. PY - 2013 DA - 2013// TI - An efficient pseudo-spectral Legendre-Galerkin method for solving a nonlinear partial integro-differential equation arising in population dynamics JO - Math. Methods Appl. Sci. VL - 36 UR - https://doi.org/10.1002/mma.2698 DO - 10.1002/mma.2698 ID - Fakhar-Izadi2013 ER - TY - JOUR AU - Avazzadeh, Z. AU - Rizi, Z. B. AU - Ghaini, F. M. AU - Loghmani, G. PY - 2012 DA - 2012// TI - A numerical solution of nonlinear parabolic-type Volterra partial integro-differential equations using radial basis functions JO - Eng. Anal. Bound. Elem. VL - 36 UR - https://doi.org/10.1016/j.enganabound.2011.09.013 DO - 10.1016/j.enganabound.2011.09.013 ID - Avazzadeh2012 ER - TY - JOUR AU - Fakhar-Izadi, F. AU - Dehghan, M. PY - 2014 DA - 2014// TI - Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains JO - Comput. Math. Appl. VL - 67 UR - https://doi.org/10.1016/j.camwa.2014.03.016 DO - 10.1016/j.camwa.2014.03.016 ID - Fakhar-Izadi2014 ER - TY - JOUR AU - Mustapha, K. AU - McLean, W. PY - 2009 DA - 2009// TI - Discontinuous Galerkin method for an evolution equation with a memory term of positive type JO - Math. Comput. VL - 78 UR - https://doi.org/10.1090/S0025-5718-09-02234-0 DO - 10.1090/S0025-5718-09-02234-0 ID - Mustapha2009 ER - TY - JOUR AU - Dehghan, M. PY - 2006 DA - 2006// TI - Solution of a partial integro-differential equation arising from viscoelasticity JO - Int. J. Comput. Math. VL - 83 UR - https://doi.org/10.1080/00207160500069847 DO - 10.1080/00207160500069847 ID - Dehghan2006 ER - TY - JOUR AU - Tang, J. AU - Xu, D. PY - 2013 DA - 2013// TI - The global behavior of finite difference-spatial spectral collocation methods for a partial integro-differential equation with a weakly singular kernel JO - Numer. Math., Theory Methods Appl. VL - 6 ID - Tang2013 ER - TY - JOUR AU - Luo, M. AU - Xu, D. AU - Li, L. PY - 2015 DA - 2015// TI - A compact difference scheme for a partial integro-differential equation with a weakly singular kernel JO - Appl. Math. Model. VL - 39 UR - https://doi.org/10.1016/j.apm.2014.07.014 DO - 10.1016/j.apm.2014.07.014 ID - Luo2015 ER - TY - JOUR AU - Kim, C. H. AU - Choi, U. J. PY - 1998 DA - 1998// TI - Spectral collocation methods for a partial integro-differential equation with a weakly singular kernel JO - ANZIAM J. VL - 39 ID - Kim1998 ER - TY - JOUR AU - Bialecki, B. AU - Fairweather, G. PY - 2001 DA - 2001// TI - Orthogonal spline collocation methods for partial differential equations JO - J. Comput. Appl. Math. VL - 128 UR - https://doi.org/10.1016/S0377-0427(00)00509-4 DO - 10.1016/S0377-0427(00)00509-4 ID - Bialecki2001 ER - TY - JOUR AU - Yoon, J. -. M. AU - Xie, S. AU - Hrynkiv, V. PY - 2012 DA - 2012// TI - Two numerical algorithms for solving a partial integro-differential equation with a weakly singular kernel JO - Appl. Appl. Math. VL - 7 ID - Yoon2012 ER - TY - JOUR AU - Biazar, J. AU - Asadi, M. A. PY - 2015 DA - 2015// TI - FD-RBF for partial integro-differential equations with a weakly singular kernel JO - Appl. Comput. Math. VL - 4 UR - https://doi.org/10.11648/j.acm.20150406.17 DO - 10.11648/j.acm.20150406.17 ID - Biazar2015 ER - TY - JOUR AU - Long, W. AU - Xu, D. AU - Zeng, X. PY - 2012 DA - 2012// TI - Quasi wavelet based numerical method for a class of partial integro-differential equation JO - Appl. Math. Comput. VL - 218 ID - Long2012 ER - TY - BOOK AU - Linz, P. PY - 1985 DA - 1985// TI - Analytical and Numerical Methods for Volterra Equations PB - SIAM CY - Philadelphia UR - https://doi.org/10.1137/1.9781611970852 DO - 10.1137/1.9781611970852 ID - Linz1985 ER - TY - JOUR AU - Rashidinia, J. AU - Zarebnia, M. PY - 2007 DA - 2007// TI - Solution of a Volterra integral equation by the sinc-collocation method JO - J. Comput. Appl. Math. VL - 206 UR - https://doi.org/10.1016/j.cam.2006.08.036 DO - 10.1016/j.cam.2006.08.036 ID - Rashidinia2007 ER - TY - JOUR AU - Rashidinia, J. AU - Maleknejad, K. AU - Taheri, N. PY - 2013 DA - 2013// TI - Sinc-Galerkin method for numerical solution of the Bratu’s problems JO - Numer. Algorithms VL - 62 UR - https://doi.org/10.1007/s11075-012-9560-3 DO - 10.1007/s11075-012-9560-3 ID - Rashidinia2013 ER - TY - JOUR AU - Rashidinia, J. AU - Barati, A. AU - Nabati, M. PY - 2014 DA - 2014// TI - Application of sinc-Galerkin method to singularly perturbed parabolic convection-diffusion problems JO - Numer. Algorithms VL - 66 UR - https://doi.org/10.1007/s11075-013-9752-5 DO - 10.1007/s11075-013-9752-5 ID - Rashidinia2014 ER - TY - JOUR AU - Rashidinia, J. AU - Barati, A. PY - 2015 DA - 2015// TI - Numerical solutions of one-dimensional non-linear parabolic equations using sinc collocation method JO - Ain Shams Eng. J. VL - 6 UR - https://doi.org/10.1016/j.asej.2014.10.002 DO - 10.1016/j.asej.2014.10.002 ID - Rashidinia2015 ER - TY - JOUR AU - El-Gamel, M. PY - 2015 DA - 2015// TI - A note on solving the fourth-order parabolic equation by the sinc-Galerkin method JO - Calcolo VL - 52 UR - https://doi.org/10.1007/s10092-014-0119-7 DO - 10.1007/s10092-014-0119-7 ID - El-Gamel2015 ER - TY - JOUR AU - Maleknejad, K. AU - Khalilsaraye, I. N. AU - Alizadeh, M. PY - 2014 DA - 2014// TI - On the solution of the integro-differential equation with an integral boundary condition JO - Numer. Algorithms VL - 65 UR - https://doi.org/10.1007/s11075-013-9709-8 DO - 10.1007/s11075-013-9709-8 ID - Maleknejad2014 ER - TY - JOUR AU - Sugihara, M. PY - 2003 DA - 2003// TI - Near optimality of the sinc approximation JO - Math. Comput. VL - 72 UR - https://doi.org/10.1090/S0025-5718-02-01451-5 DO - 10.1090/S0025-5718-02-01451-5 ID - Sugihara2003 ER - TY - BOOK AU - Lund, J. AU - Bowers, K. L. PY - 1992 DA - 1992// TI - Sinc Methods for Quadrature and Differential Equations PB - SIAM CY - Philadelphia UR - https://doi.org/10.1137/1.9781611971637 DO - 10.1137/1.9781611971637 ID - Lund1992 ER - TY - BOOK AU - Stenger, F. PY - 2012 DA - 2012// TI - Numerical Methods Based on Sinc and Analytic Functions PB - Springer CY - New York ID - Stenger2012 ER - TY - JOUR AU - Dixon, J. PY - 1985 DA - 1985// TI - On the order of the error in discretization methods for weakly singular second kind non-smooth solutions JO - BIT Numer. Math. VL - 25 UR - https://doi.org/10.1007/BF01936141 DO - 10.1007/BF01936141 ID - Dixon1985 ER - TY - BOOK AU - Marshall, A. W. AU - Olkin, I. AU - Arnold, B. PY - 2010 DA - 2010// TI - Inequalities: Theory of Majorization and Its Applications PB - Springer CY - London ID - Marshall2010 ER - TY - BOOK AU - Hansen, P. C. PY - 1998 DA - 1998// TI - Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inverse PB - SIAM CY - Philadelphia UR - https://doi.org/10.1137/1.9780898719697 DO - 10.1137/1.9780898719697 ID - Hansen1998 ER - TY - JOUR AU - Tang, T. PY - 1993 DA - 1993// TI - A finite difference scheme for partial integro-differential equations with a weakly singular kernel JO - Appl. Numer. Math. VL - 11 UR - https://doi.org/10.1016/0168-9274(93)90012-G DO - 10.1016/0168-9274(93)90012-G ID - Tang1993 ER - TY - JOUR AU - Sanz-Serna, J. M. PY - 1988 DA - 1988// TI - A numerical method for a partial integro-differential equation JO - SIAM J. Numer. Anal. VL - 25 UR - https://doi.org/10.1137/0725022 DO - 10.1137/0725022 ID - Sanz-Serna1988 ER -