Approximate Solution of 𝑛th-Order Fuzzy Linear Differential Equations

Table 5

Comparisons between the exact solution and the approximate solution (𝑡=1.001).

𝑟	𝑌(𝑡,𝑟)	𝑦(𝑡,𝑟)	Error
0	−0.00099899800000	−0.00099899582400	0.21760011570393𝑒−8
0.1	0.09910110210000	0.09910110405840	0.19584001087480𝑒−8
0.2	0.19920120220000	0.19920120394080	0.17407990604568𝑒−8
0.3	0.29930130230000	0.29930130382320	0.15232002326115𝑒−8
0.4	0.39940140240000	0.39940140370560	0.13056005165879𝑒−8
0.5	0.49950150250000	0.49950150358800	0.10879999123858𝑒−8
0.6	0.59960160260000	0.59960160347040	0.08703997522730𝑒−8
0.7	0.69970170270000	0.69970170335280	0.06527991480709𝑒−8
0.8	0.79980180280000	0.79980180323520	0.04352012084041𝑒−8
0.9	0.89990190290000	0.89990190311760	0.02176006042021𝑒−8
1	1.00000200300000	1.00000200300000	0