%0 Journal Article %T A Fictitious Time Integration Method for a One-dimensional Hyperbolic Boundary Value Problem %A Hashemi, Mir Sajjad %A Sariri, Maryam %J Journal of Mathematics and Computer Science %D 2015 %V 14 %N 2 %@ ISSN 2008-949X %F Hashemi2015 %X This paper gives an estimate for the initial-boundary value problem of wave equations by using the Fictitious Time Integration Method (FTIM) previously developed by Liu and Atluri [1]. Given examples confirm that FTIM is highly efficient approach to find the true solutions. It is interesting that the FTIM can easily treat the boundary value problems without any iteration and has high efficiency and high accuracy. %9 journal article %R 10.22436/jmcs.014.02.01 %U http://dx.doi.org/10.22436/jmcs.014.02.01 %P 87-96 %0 Journal Article %T A novel time integration method for solving a large system of non-linear algebraic equations %A C.-S. Liu %A S. N. Atluri %J CMES %D 2008 %V 31 %F Liu2008 %0 Journal Article %T Cone of non-linear dynamical system and group preserving schemes %A C.-S. Liu %J Int. J. Non-Linear Mech. %D 2001 %V 36 %F Liu2001 %0 Journal Article %T Group preserving scheme for backward heat conduction problems %A C.-S. Liu %J Int. J. Heat Mass Transfer %D 2004 %V 47 %F Liu2004 %0 Journal Article %T A modified group-preserving scheme for solving the initial value problems of stiff ordinary differential equations %A H.-C. Lee %A C.-K. Chen %A C.-I. Hung %J Appl. Math. Comput. %D 2002 %V 133 %F Lee2002 %0 Journal Article %T Group preserving scheme for the Cauchy problem of the Laplace equation %A S. Abbasbandy %A M. S. Hashemi %J Eng. Anal. Bound. Elem. %D 2011 %V 35 %F Abbasbandy2011 %0 Journal Article %T Group analysis of the modified generalized Vakhnenko equation %A M. S. Hashemi %A M. C. Nucci %A S. Abbasbandy %J Commun. Nonlinear Sci. Numer. Simulat. %D 2013 %V 18 %F Hashemi2013 %0 Journal Article %T Two-dimensional bilinear oscillator: group-preserving scheme and steady-state motion under harmonic loading %A C.-S. Liu %J Int. J. Non-Linear Mech. %D 2003 %V 38 %F Liu2003 %0 Journal Article %T One-step GPS for the estimation of temperature-dependent thermal conductivity %A C.-S. Liu %J Int. J. Heat Mass Transfer %D 2006 %V 49 %F Liu2006 %0 Journal Article %T A fictitious time integration method for two-dimensional quasilinear elliptic boundary value problems %A C.-S. Liu %J CMES: Computer Modeling in Engineering & Sciences %D 2008 %V 33 %F Liu2008 %0 Journal Article %T A fictitious time integration method for solving the discretized inverse Sturm-Liouville problems, for specified eigenvalues %A C.-S. Liu %J CMES: Computer Modeling in Engineering & Sciences %D 2008 %V 36 %F Liu2008 %0 Journal Article %T A fictitious time integration method for solving m-point boundary value problems %A C.-S. Liu %J CMES: Computer Modeling in Engineering & Sciences %D 2009 %V 39 %F Liu2009 %0 Journal Article %T A fictitious time integration method for a quasilinear elliptic boundary value problem defined in an arbitrary plane domain %A C.-S. Liu %J CMC: Computers, Materials & Continua %D 2009 %V 11 %F Liu2009 %0 Journal Article %T A novel time integration method for solving a large system of non-linear algebraic equations %A C.-S. Liu %A S. N. Atluri %J CMES: Computer Modeling in Engineering & Sciences %D 2008 %V 31 %F Liu2008 %0 Journal Article %T A fictitious time integration method (FTIM) for solving mixed complementarity problems with applications to non-linear optimization %A C.-S. Liu %A S. N. Atluri %J CMES: Computer Modeling in Engineering & Sciences %D 2008 %V 34 %F Liu2008 %0 Journal Article %T A fictitious time integration method for the numerical solution of the Fredholm integral equation and for numerical differentiation of noisy data, and its relation to the filter theory %A C.-S. Liu %A S. N. Atluri %J CMES: Computer Modeling in Engineering & Sciences %D 2009 %V 41 %F Liu2009