TY - JOUR AU - Hashemi, Mir Sajjad AU - Sariri, Maryam PY - 2015 TI - A Fictitious Time Integration Method for a One-dimensional Hyperbolic Boundary Value Problem JO - Journal of Mathematics and Computer Science SP - 87-96 VL - 14 IS - 2 AB - 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. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.014.02.01 DO - 10.22436/jmcs.014.02.01 ID - Hashemi2015 ER - TY - JOUR TI - A novel time integration method for solving a large system of non-linear algebraic equations AU - C.-S. Liu AU - S. N. Atluri JO - CMES PY - 2008 DA - 2008// VL - 31 ID - Liu2008 ER - TY - JOUR TI - Cone of non-linear dynamical system and group preserving schemes AU - C.-S. Liu JO - Int. J. Non-Linear Mech. PY - 2001 DA - 2001// VL - 36 ID - Liu2001 ER - TY - JOUR TI - Group preserving scheme for backward heat conduction problems AU - C.-S. Liu JO - Int. J. Heat Mass Transfer PY - 2004 DA - 2004// VL - 47 ID - Liu2004 ER - TY - JOUR TI - A modified group-preserving scheme for solving the initial value problems of stiff ordinary differential equations AU - H.-C. Lee AU - C.-K. Chen AU - C.-I. Hung JO - Appl. Math. Comput. PY - 2002 DA - 2002// VL - 133 ID - Lee2002 ER - TY - JOUR TI - Group preserving scheme for the Cauchy problem of the Laplace equation AU - S. Abbasbandy AU - M. S. Hashemi JO - Eng. Anal. Bound. Elem. PY - 2011 DA - 2011// VL - 35 ID - Abbasbandy2011 ER - TY - JOUR TI - Group analysis of the modified generalized Vakhnenko equation AU - M. S. Hashemi AU - M. C. Nucci AU - S. Abbasbandy JO - Commun. Nonlinear Sci. Numer. Simulat. PY - 2013 DA - 2013// VL - 18 ID - Hashemi2013 ER - TY - JOUR TI - Two-dimensional bilinear oscillator: group-preserving scheme and steady-state motion under harmonic loading AU - C.-S. Liu JO - Int. J. Non-Linear Mech. PY - 2003 DA - 2003// VL - 38 ID - Liu2003 ER - TY - JOUR TI - One-step GPS for the estimation of temperature-dependent thermal conductivity AU - C.-S. Liu JO - Int. J. Heat Mass Transfer PY - 2006 DA - 2006// VL - 49 ID - Liu2006 ER - TY - JOUR TI - A fictitious time integration method for two-dimensional quasilinear elliptic boundary value problems AU - C.-S. Liu JO - CMES: Computer Modeling in Engineering & Sciences PY - 2008 DA - 2008// VL - 33 ID - Liu2008 ER - TY - JOUR TI - A fictitious time integration method for solving the discretized inverse Sturm-Liouville problems, for specified eigenvalues AU - C.-S. Liu JO - CMES: Computer Modeling in Engineering & Sciences PY - 2008 DA - 2008// VL - 36 ID - Liu2008 ER - TY - JOUR TI - A fictitious time integration method for solving m-point boundary value problems AU - C.-S. Liu JO - CMES: Computer Modeling in Engineering & Sciences PY - 2009 DA - 2009// VL - 39 ID - Liu2009 ER - TY - JOUR TI - A fictitious time integration method for a quasilinear elliptic boundary value problem defined in an arbitrary plane domain AU - C.-S. Liu JO - CMC: Computers, Materials & Continua PY - 2009 DA - 2009// VL - 11 ID - Liu2009 ER - TY - JOUR TI - A novel time integration method for solving a large system of non-linear algebraic equations AU - C.-S. Liu AU - S. N. Atluri JO - CMES: Computer Modeling in Engineering & Sciences PY - 2008 DA - 2008// VL - 31 ID - Liu2008 ER - TY - JOUR TI - A fictitious time integration method (FTIM) for solving mixed complementarity problems with applications to non-linear optimization AU - C.-S. Liu AU - S. N. Atluri JO - CMES: Computer Modeling in Engineering & Sciences PY - 2008 DA - 2008// VL - 34 ID - Liu2008 ER - TY - JOUR TI - 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 AU - C.-S. Liu AU - S. N. Atluri JO - CMES: Computer Modeling in Engineering & Sciences PY - 2009 DA - 2009// VL - 41 ID - Liu2009 ER -