Research Article

Solving Nonstiff Higher Order Odes Using Variable Order Step Size Backward Difference Directly

Table 5

Comparison between the 1PBDVSO, DI, B1, and D1 methods for solving Problem 3.

TOLMTD(1)

10−21PBDVSO
DI
B1
D1
1.9788520539 + 000
1.9163232164 + 000
1.8780198255 + 000
−1.#IND000000 + 000

10−41PBDVSO
DI
B1
D1
1.8706114418 + 000
1.8694497531 + 000
1.8694030590 + 000
−1.#IND000000 + 000

10−61PBDVSO
DI
B1
D1
1.8694735377 + 000
1.8694497531 + 000
1.8694368915 + 000
−1.#IND000000 + 000

10−81PBDVSO
DI
B1
D1
1.8694389431 + 000
1.8694388843 + 000
1.8694402726 + 000
−1.#IND000000 + 000

10−101PBDVSO
DI
B1
D1
1.8694388662 + 000
1.8694388834 + 000
Fail to compute
−1.#IND000000 + 000