Research Article
A Higher-Order Galerkin Time Discretization and Numerical Comparisons for Two Models of HIV Infection
Table 5
The absolute errors between the findings of the Galerkin and RK4 schemes for
, , and
with same step size and
.
| | | | | |
| 0.0 | 0.00000000000000-10 | 0.00000000000000-14 | 0.00000000000000-11 | 0.1 | 2.84775258929670-10 | 3.46123001238724-14 | 4.45784936742299-11 | 0.2 | 7.67201135953854-10 | 7.50830062186403-14 | 7.01317059981221-11 | 0.3 | 1.55009055591293-09 | 1.21598593011158-13 | 8.27457546925814-11 | 0.4 | 2.78372330742016-09 | 1.74456149260862-13 | 8.67752675270950-11 | 0.5 | 4.68632355143939-09 | 2.34046319786763-13 | 8.53053669369608-11 | 0.6 | 7.57295037789874-09 | 3.00841803183537-13 | 8.04949266963728-11 | 0.7 | 1.18961085426861-08 | 3.75390284178614-13 | 7.38314721859812-11 | 0.8 | 1.83025996580710-08 | 4.58311269117091-13 | 6.63192608468810-11 | 0.9 | 2.77127207848338-08 | 5.50296584017097-13 | 5.86177772987639-11 | 1.2 | 8.98785703640215-08 | 8.88763672032833-13 | 3.77432252118837-11 | 1.4 | 1.89002486550294-07 | 1.17644883093106-12 | 2.69146562675848-11 | 1.6 | 3.87287119707480-07 | 1.52607589651126-12 | 1.85752377021564-11 | 1.8 | 7.73954734967219-07 | 1.95361702347036-12 | 1.23150862337690-11 | 2.0 | 1.50285070077416-06 | 2.48521210934657-12 | 7.65154150976499-12 | 3.0 | 1.44064168807745-05 | 1.06163661303844-11 | 6.34902492992889-12 | 4.0 | 4.45008413407777-06 | 9.61197484453114-11 | 6.36393082328879-11 | 5.0 | 3.44141881214455-07 | 1.02496256620954-09 | 6.58341856724087-10 | 10 | 2.90578410613307-05 | 2.45547904569321-05 | 2.57475288663045-05 | 30 | 1.43229695481750-06 | 2.60882575275900-06 | 5.73396846448304-07 | 70 | 4.48719525536490-07 | 1.54975691657455-06 | 1.31251681523281-06 |
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