BÜLBÜL, Berna Celal Bayar Üniversitesi - Fen Edebiyat fakültesi - Matematik Bölümü, Turkey , SEZER, Mehmet Celal Bayar Üniversitesi - Fen Edebiyat fakültesi - Matematik Bölümü, Turkey

Taylor polynomial solution of hyperbolic type partial differential equation with an integral condition

28184

In this paper, the problem of solving the one-dimensional hyperbolic partial differential equation, subject to given initial and nonlocal boundary conditions, is considered. The proposed method converts the equation and conditions to matrix equation, which corresponds to system of linear algebraic equations with unknown Taylor coefficients. Thus by solving the matrix equation, Taylor coefficients and polynomial approach are obtained. Also, the obtained results are compared by the known results; the accuracy of solutions and the error analysis are performed.

413

Taylor matrix method , Double Taylor series , Hyperbolic partial differential equations , Polynomial approximation

Erciyes University Journal Of The Institute Of Science an‎d Technology

420