Approximate Solution of 𝑛th-Order Fuzzy Linear Differential Equations

Table 9

Comparisons between the exact solution and the approximate solution (𝑡=0.001).

𝑟	𝑌(𝑡,𝑟)	𝑦(𝑡,𝑟)	Error
0	−0.09991195018134	−0.09991206746457	0.11728323451310𝑒−6
0.1	−0.08990195518300	−0.08990206974373	0.11456072925020𝑒−6
0.2	−0.07989196018467	−0.07989207202289	0.11183822400118𝑒−6
0.3	−0.06988196518634	−0.06988207430206	0.10911571875216𝑒−6
0.4	−0.05987197018800	−0.05987207658122	0.10639321350314𝑒−6
0.5	−0.04986197518967	−0.04986207886038	0.10367070826106𝑒−6
0.6	−0.03985198019133	−0.03985208113954	0.10094820300510𝑒−6
0.7	−0.02984198519300	−0.02984208341870	0.09822569775955𝑒−6
0.8	−0.01983199019467	−0.01983208569786	0.09550319251053𝑒−6
0.9	−0.00982199519633	−0.00982208797702	0.09278068726151𝑒−6
1	0.00018799980200	0.00018790974382	0.09005818201011𝑒−6