Restrictive Taylor’s approximation for two dimensions initial boundary value problem for parabolic PDE

摘要

Treatment initial boundary value problem for parabolic PDE by finite difference approximation has many difficulties for accuracy and complexity. The restrictive Padé and restrictive Taylor (RT) approximations are discussed in many physical and engineering problems. This work is discussing RT approximation for two dimensions initial boundary value problem for parabolic PDE. We estimate an error upper bound, also we drive the stability condition of the algorithm. Then we compare the results with that of the other known numerical methods.