Numerical solution for stiff initial value problems using 2-point block multistep method. (November 2018)

• Record Type: Journal Article
• Authors: Mohamad Noor, N; Ibrahim, Z B; Ismail, F
• Is Part Of: Journal of physics. Volume 1132(2018)
• Publication Date: 2018-11
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1132/1/012017
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: This paper focuses on the derivation of an improved 2-point Block Backward Differentiation Formula of order five (I2BBDF(5)) for solving stiff first order Ordinary Differential Equations (ODEs). The I2BBDF(5) method is derived by using Taylor's series expansion to obtain the coefficients of the formula. To verify the efficiency of the I2BBDF(5) method, stiff problems from the literature are tested and compared with the existing solver for stiff ODEs. From the numerical results, we conclude that the I2BBDF(5) method can be an alternative solver for solving stiff ODEs.