We present a new mixed finite element method for solving the extended Fisher-Kolmogorov (EFK) equation. We first decompose the EFK equation as the two second-order equations, then deal with a second-order equation employing finite element method, and handle the other second-order equation using a new mixed finite element method. In the new mixed finite element method, the gradient ∇u belongs to...

This research describes an efficient numerical method based on Wendland’s compactly supported functions to simulate the time-space fractional coupled nonlinear Schrödinger (TSFCNLS) equations. Here, time and space derivatives are considered in terms of Caputo Conformable derivatives, respectively. The present discussion is following ways: we first approximate derivative proposed equation by a s...

We present a paradigm for developing thermodynamical consistent numerical algorithms thermodynamically partial differential equation (TCPDE) systems, called the supplementary variable method (SVM). add proper number of variables to TCPDE system coupled with its energy and other deduced equations through perturbations arrive at consistent, well-determined, solvable structurally stable system. Th...

© 2006 The Authors. Journal compilation © 2006 Blackwell Publishing Ltd. children at familial risk for dyslexia: birth to early school age. Annals of Dyslexia , 54 (2), 184–220. Nicolson, R.I., Daum, I., Schugens, M.M., Fawcett, A.J., & Schulz, A. (2002). Eyeblink conditioning indicates cerebellar abnormality in dyslexia. Experimental Brain Research , 143 (1), 42–50. Nicolson, R.I., & Fawcett, ...

We prove existence and numerical stability of numerical solutions of three fully discrete interior penalty discontinuous Galerkin (IPDG) methods for solving nonlinear parabolic equations. Under some appropriate regularity conditions, we give the l(H) and l(L) error estimates of the fully discrete symmetric interior penalty discontinuous Galerkin (SIPG) scheme with the implicit θ-schemes in time...

EEcient numerical schemes for nonlinear diiusion ltering based on additive operator splitting (AOS) were introduced in 15]. AOS schemes are eecient and unconditionally stable, yet their accuracy is limited. Future applications of nonlinear diiusion ltering may require better accuracy at the expense of a relatively modest cost in computations and complexity. In this report we explore second orde...