Study of Stability Analysis for a Class of Fourth Order Boundary Value Problems  

作　　者：C. Bala Rama Krishna P. S. Rama Chandra Rao 

机构地区：[1]Department of Mathematics, Chaitanya Degree College (Autonomous), Warangal, India [2]Department of Mathematics, Kakatiya Institute of Technology & Science, Warangal, India

出　　处：《Applied Mathematics》2014年第13期1887-1893,共7页应用数学（英文）

摘　　要：Fourth order differential equations are considered to develop the class of methods for the numerical solution of boundary value problems. In this paper, we have discussed the regions of absolute stability of fourth order boundary value problems. Methods proposed and derived in this paper are applied to solve a fourth-order boundary value problem. Numerical results are given to illustrate the efficiency of our methods and compared with exact solution.Fourth order differential equations are considered to develop the class of methods for the numerical solution of boundary value problems. In this paper, we have discussed the regions of absolute stability of fourth order boundary value problems. Methods proposed and derived in this paper are applied to solve a fourth-order boundary value problem. Numerical results are given to illustrate the efficiency of our methods and compared with exact solution.

关 键 词：Numerical Differentiation Initial VALUE PROBLEM Boundary VALUE PROBLEM ABSOLUTE Stability MULTISTEP Methods 

分 类 号：O1[理学—数学]