Boundary Value Problems

Table 4 Approximate solutions using the presented method with \(n=20\) for Example 2

From: Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method

	Approximate solutions			Exact solutions
x	\(y_{{1,20}}(x)\)	\(y_{{2,20}}(x)\)	\(y_{{3,20}}(x)\)	\(y_{{1}}(x)\)	\(y_{{2}}(x)\)	\(y_{{3}}(x)\)
0.0	1	0	0	1	0	0
0.1	0.904837410	0.011051575	0.099999998	0.904837418	0.011051709	0.1
0.2	0.818730742	0.048855893	0.200000027	0.818730753	0.048856110	0.2
0.3	0.740818189	0.121486820	0.300000027	0.740818220	0.121487292	0.3
0.4	0.670319932	0.238691510	0.399999997	0.670320046	0.238691951	0.4
0.5	0.606530562	0.412179924	0.500000043	0.606530659	0.412180317	0.5
0.6	0.548811564	0.655962099	0.600000135	0.548811636	0.655962768	0.6
0.7	0.496585144	0.986737911	0.700000152	0.496585303	0.986738826	0.7
0.8	0.449328731	1.424345303	0.800000121	0.449328964	1.424346194	0.8
0.9	0.406569307	1.992277792	0.900000095	0.406569659	1.992278552	0.9
1.0	0.367878796	2.718281815	0.999999866	0.367879441	2.718281828	1.0

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