Approximate Solution of 𝑛th-Order Fuzzy Linear Differential Equations

Table 7

Comparisons between the exact solution and the approximate solution (𝑡=0.01).

𝑟	𝑌(𝑡,𝑟)	𝑦(𝑡,𝑟)	Error
0	−0.09911518137409	−0.09912683067200	0.11649297906799𝑒−4
0.1	−0.08901568303658	−0.08902706143300	0.11378396415129𝑒−4
0.2	−0.07891618469908	−0.07892729219400	0.11107494923460𝑒−4
0.3	−0.06881668636157	−0.06882752295500	0.10836593431776𝑒−4
0.4	−0.05871718802406	−0.05872775371600	0.10565691940079𝑒−4
0.5	−0.04861768968655	−0.04862798447700	0.10294790448395𝑒−4
0.6	−0.03851819134904	−0.03852821523800	0.10023888956719𝑒−4
0.7	−0.02841869301153	−0.02842844599900	0.09752987465039𝑒−4
0.8	−0.01831919467403	−0.01832867676000	0.09482085973359𝑒−4
0.9	−0.00821969633652	−0.00822890752100	0.09211184481680𝑒−4
1	0.00187980200099	0.00187086171800	0.08940282990000𝑒−4