Publication date: 1 January 2019 Source:Journal of Computational and Applied Mathematics, Volume 345 Author(s): Jiaquan Xie, Mingxu Yi In this study, a numerical scheme for approximating the solutions of nonlinear system of fractional-order Volterra–Fredholm integral–differential equations (VFIDEs) has been proposed. This method is based on...

Publication date: 1 January 2019 Source:Journal of Computational and Applied Mathematics, Volume 345 Author(s): Dušan Lj. Djukić, Lothar Reichel, Miodrag M. Spalević, Jelena D. Tomanović Generalized averaged Gaussian quadrature rules associated with some measure, and truncated variants of these rules, can be used to estimate the error in...

Publication date: 1 January 2019 Source:Journal of Computational and Applied Mathematics, Volume 345 Author(s): Selahattin Kaçıranlar, Issam Dawoud We derive the optimal heterogeneous, homogeneous and homogeneous unbiased estimators of the coefficient vector in a linear regression model under the extended balanced loss function of Shalabh et al....

Publication date: 1 January 2019 Source:Journal of Computational and Applied Mathematics, Volume 345 Author(s): Doghonay Arjmand, Stefan Engblom, Gunilla Kreiss We consider a multiscale strategy addressing the disparate scales in the Landau–Lifschitz equations in micromagnetism. At the microscopic scale, the dynamics of magnetic moments are...

Publication date: 1 January 2019 Source:Journal of Computational and Applied Mathematics, Volume 345 Author(s): Tran Thi Khieu, Hoang-Hung Vo In this paper, we investigate the problem of recovering the historical distribution for a nonlinear space-fractional diffusion equation with temporally dependent thermal conductivity in higher dimensional...

Publication date: 1 January 2019 Source:Journal of Computational and Applied Mathematics, Volume 345 Author(s): Hanze Liu, Bo Sang, Xiangpeng Xin, Xiqiang Liu In this paper, the improved CK reduction transformation is performed on the generalized variable-coefficient KdV (vc-KdV) type of equation, then these variable-coefficient equations...