Approximate Solution of 𝑛th-Order Fuzzy Linear Differential Equations

Table 1

Comparisons between the exact solution and the approximate solution.

𝑟	𝑌(𝑡,𝑟)	𝑦(𝑡,𝑟)	Error
0	2.00400200066667	2.00300328843835	0.00099871222831
0.1	2.10430240100020	2.10320316558466	0.00109923541554
0.2	2.20460280133373	2.20340304273096	0.00119975860278
0.3	2.30490320166727	2.30360291987726	0.00130028179001
0.4	2.40520360200080	2.40380279702356	0.00140080497724
0.5	2.50550400233433	2.50400267416986	0.00150132816447
0.6	2.60580440266787	2.60420255131616	0.00160185135171
0.7	2.70610480300140	2.70440242846246	0.00170237453894
0.8	2.80640520333493	2.80460230560876	0.00180289772617
0.9	2.90670560366847	2.90480218275507	0.00190342091340
1	3.00700600400200	3.00500205990137	0.00200394410063