Exemplos_Metodo_da_bisessao (2)

Cálculo Numérico

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UNOPAR

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Gerson Laranjeiras

09/04/2021

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Bissecção
	x²-3	x	f(x)		n	a_n	b_n	x_n	f(a_n)	f(b_n)	f(n_x)	erro
		0	-3		0	1	2	1.5	-2	1	-0.75				1.5	-0.75
		1	-2		1	1.5	2	1.75	-0.75	1	0.0625	0.25	continue
		2	1		2	1.5	1.75	1.625	-0.75	0.0625	-0.359375	0.125	continue
		3	6		3	1.625	1.75	1.6875	-0.359375	0.0625	-0.15234375	0.0625	continue
		4	13		4	1.6875	1.75	1.71875	-0.15234375	0.0625	-0.0458984375	0.03125	continue
		5	22		5	1.71875	1.75	1.734375	-0.0458984375	0.0625	0.0080566406	0.015625	continue
		6	33		6	1.71875	1.734375	1.7265625	-0.0458984375	0.0080566406	-0.0189819336	0.0078125	stop
					n	a_n	b_n	x_n	f(a_n)	f(b_n)	f(n_x)	erro		1.5	-0.75
					0	1	2	1.5	-2	1	-0.75
					1	1.5	2	1.75	-0.75	1	0.0625	0.25	Continue
					2	1.5	1.75	1.625	-0.75	0.0625	-0.359375	0.125	Continue
					3	1.625	1.75	1.6875	-0.359375	0.0625	-0.15234375	0.0625	Continue
					4	1.6875	1.75	1.71875	-0.15234375	0.0625	-0.0458984375	0.03125	Continue
					5	1.71875	1.75	1.734375	-0.0458984375	0.0625	0.0080566406	0.015625	Continue
					6	1.71875	1.734375	1.7265625	-0.0458984375	0.0080566406	-0.0189819336	0.0078125	Stop
					7	1.7265625	1.734375	1.73046875	-0.0189819336	0.0080566406	-0.0054779053	0.00390625	Stop
					8	1.73046875	1.734375	1.732421875	-0.0054779053	0.0080566406	0.001285553	0.001953125	Stop
Planilha2
	x^2+ln(x)		x	f(x)		n	a_n	b_n	x_n	f(a_n)	f(b_n)	f(x_n)	erro
			0	ERROR:#NUM!		0	0.5	1	0.75	-0.4431471806	1	0.2748179275
			1	1		1	0.5	0.75	0.625	-0.4431471806	0.2748179275	-0.0793786292	0.125	Continue
	<=0,01		2	4.6931471806		2	0.625	0.75	0.6875	-0.0793786292	0.2748179275	0.0979628006	0.0625	Continue
			3	10.0986122887		3	0.625	0.6875	0.65625	-0.0793786292	0.0979628006	0.0094505974	0.03125	Continue
			4	17.3862943611		4	0.625	0.65625	0.640625	-0.0793786292	0.0094505974	-0.034910626	0.015625	Continue
			5	26.6094379124		5	0.640625	0.65625	0.6484375	-0.034910626	0.0094505974	-0.0127184647	0.0078125	Stop
			6	37.7917594692		6	0.6484375	0.65625	0.65234375	-0.0127184647	0.0094505974	-0.0016312639	0.00390625	Stop
			7	50.9459101491		7	0.65234375	0.65625	0.654296875	-0.0016312639	0.0094505974	0.0039103074	0.001953125	Stop
			8	66.0794415417		8	0.65234375	0.654296875	0.6533203125	-0.0016312639	0.0039103074	0.0011396853	0.0009765625	Stop
			0.5	-0.4431471806		9	0.65234375	0.6533203125	0.6528320313	-0.0016312639	0.0011396853	-0.000245748	0.0004882813	Stop
			0.75	0.2748179275		10	0.6528320313	0.6533203125	0.6530761719	-0.000245748	0.0011396853	0.0004469789	0.0002441406	Stop
						11	0.6528320313	0.6530761719	0.6529541016	-0.000245748	0.0004469789	0.000100618	0.0001220703	Stop
						12	0.6528320313	0.6529541016	0.6528930664	-0.000245748	0.000100618	-0.0000725644	0.0000610352	Stop
						13	0.6528930664	0.6529541016	0.652923584	-0.0000725644	0.000100618	0.000014027	0.0000305176	Stop
						14	0.6528930664	0.652923584	0.6529083252	-0.0000725644	0.000014027	-0.0000292687	0.0000152588	Stop
						15	0.6529083252	0.652923584	0.6529159546	-0.0000292687	0.000014027	-0.0000076208	0.0000076294	Stop
	X^3-10		x	f(x)		n	a_n	b_n	x_n	f(a_n)	f(b_n)	f(x_n)	erro
	<=0,1		0	-10		0	2	3	2.5	-2	17	5.625
			1	-9		1	2	2.5	2.25	-2	5.625	1.390625	0.25	Continue
			2	-2		2	2	2.25	2.125	-2	1.390625	-0.404296875	0.125	Continue
			3	17		3	2.125	2.25	2.1875	-0.404296875	1.390625	0.4675292969	0.0625	Stop
						4	2.125	2.1875	2.15625	-0.404296875	0.4675292969	0.0252990723	0.03125	Stop
						5	2.125	2.15625	2.140625	-0.404296875	0.0252990723	-0.1910667419	0.015625	Stop
Newton