Modified treatment of initial boundary value problems for one dimensional heat-like and wave-like equations using variational iteration method. (English) Zbl 1246.65232

Ali, Elaf Jaafar

Appl. Math. Sci., Ruse 6, No. 33-36, 1613-1626 (2012).

Summary: A new technique is applied to modified treatment of initial boundary value problems for one dimensional heat-like and wave-like partial differential equations (ordinary or fractional) by mixed initial and boundary conditions together to obtain a new initial solution at every iteration using variational iteration method (VIM). The structure of a new successive initial solutions can give a more accurate solution in a first step.

MSC:

65N99	Numerical methods for partial differential equations, boundary value problems
35Q35	PDEs in connection with fluid mechanics
35Q53	KdV equations (Korteweg-de Vries equations)

Keywords:

initial boundary value problems; one dimensional; heat-like and wave-like partial differential equations; variational iteration method