Variational iteration method for solving a nonlinear system of second-order boundary value problems

The variational iteration method is introduced to solve a nonlinear system of second-order boundary value problems. Numerical results demonstrate that this method is promising and readily implemented.

[1]  Christopher C. Tisdell,et al.  Boundary value problems for systems of difference equations associated with systems of second-order ordinary differential equations , 2002, Appl. Math. Lett..

[2]  Christopher C. Tisdell,et al.  The nonexistence of spurious solutions to discrete, two-point boundary value problems , 2003, Appl. Math. Lett..

[3]  Ji-Huan He,et al.  Variational iteration method for delay differential equations , 1997 .

[4]  Devrim Çakmak,et al.  On the oscillation of certain second-order nonlinear differential equations , 2003 .

[5]  Shihua Chen,et al.  Existence results for n-point boundary value problem of second order ordinary differential equations , 2005 .

[6]  Christopher C. Tisdell,et al.  A note on the uniqueness of solutions to nonlinear, discrete, vector boundary value problems , 2003 .

[7]  A. A. Soliman,et al.  New applications of variational iteration method , 2005 .

[8]  Ji-Huan He A new approach to nonlinear partial differential equations , 1997 .

[9]  Christopher C. Tisdell,et al.  Systems of difference equations associated with boundary value problems for second order systems of ordinary differential equations , 2000 .

[10]  Abdul-Majid Wazwaz,et al.  A new method for solving singular initial value problems in the second-order ordinary differential equations , 2002, Appl. Math. Comput..

[11]  Shaher Momani,et al.  Application of He’s variational iteration method to Helmholtz equation , 2006 .

[12]  Ji-Huan He HOMOTOPY PERTURBATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS , 2006 .

[13]  A. Lomtatidze,et al.  On a two-point boundary value problem for the second order ordinary differential equations with singularities , 2003 .

[14]  Xiyou Cheng,et al.  Existence of positive solutions for a second-order ordinary differential system☆ , 2005 .

[15]  Ji-Huan He Approximate solution of nonlinear differential equations with convolution product nonlinearities , 1998 .

[16]  Ji-Huan He Variational iteration method – a kind of non-linear analytical technique: some examples , 1999 .

[17]  G. Adomian A new approach to nonlinear partial differential equations , 1984 .

[18]  Fazhan Geng,et al.  Solving a nonlinear system of second order boundary value problems , 2007 .

[19]  Ji-Huan He SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS , 2006 .

[20]  M. A. Abdoua,et al.  Variational iteration method for solving Burger ’ s and coupled Burger ’ s equations , 2005 .

[21]  Ji-Huan He,et al.  Variational approach to the sixth-order boundary value problems , 2003, Appl. Math. Comput..

[22]  Ji-Huan He Homotopy Perturbation Method for Bifurcation of Nonlinear Problems , 2005 .

[23]  Ji-Huan He,et al.  Construction of solitary solution and compacton-like solution by variational iteration method , 2006 .

[24]  Ji-Huan He,et al.  Variational iteration method for autonomous ordinary differential systems , 2000, Appl. Math. Comput..

[25]  Juan I. Ramos,et al.  Linearization techniques for singular initial-value problems of ordinary differential equations , 2005, Appl. Math. Comput..