Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations

Table 1

Numerical results for problem (5.1) for different step sizes, ℎ=2^−𝑗.

𝑗	Method	MAX 𝐸
	1SPCM	4.3821𝐸−5
2	P-C ADAMS	1.2533𝐸−3
	DI2BBDF	7.4651𝐸−3
	1SPCM	1.1130𝐸−5
3	P-C ADAMS	3.2000𝐸−4
	DI2BBDF	1.9472𝐸−3
	1SPCM	2.8070𝐸−6
4	P-C ADAMS	8.0949𝐸−5
	DI2BBDF	4.9778𝐸−4
	1SPCM	7.0478𝐸−7
5	P-C ADAMS	2.0362𝐸−5
	DI2BBDF	1.2576𝐸−4
	1SPCM	1.7656𝐸−7
6	P-C ADAMS	5.1065𝐸−6
	DI2BBDF	3.1612𝐸−5
	1SPCM	4.4189𝐸−8
7	P-C ADAMS	1.2786𝐸−6
	DI2BBDF	7.9239𝐸−6
	1SPCM	1.1053𝐸−8
8	P-C ADAMS	3.1991𝐸−7
	DI2BBDF	1.9836𝐸−6