Application of Lane-Emden differential equation numerical method in fair value analysis of financial accounting

Haar	Euler	Haar	Euler
k=21.97e−3	1.05e−6	4.71e−4	2.28e−7
k=34.91e−4	6.99e−8	1.65e−4	1.97e −8
k=41.23e−4	6.41e−9	5.84e−5	2.79e −9
k=53.12e−5	4.32e−10	2.06e−5	2.72e −10
k=68.92e−6	2.75e−11	7.28e−6	2.46e −10
k=72.96e−6	1.73e−12	2.56e−6	2.19e −11
k=81.29e−7	1.08e−13	8.81e−7	1.93e −12

Error method	L∞	L∞	L2	L2

k=1	Haar	Euler	Haar	Euler
k=2	7.80e−4	5.36e−5	1.63e−3	1.68e−4
k=3	1.94e −4	3.97e−6	5.74e−4	1.21e −5
k=4	4.84e −5	2.73e−7	2.03e−4	8.57e −7
k=5	1.21e −5	1.76e−8	7.18e−5	5.50e −8
k=6	3.02e −6	1.17e−9	2.54e−5	3.66e −9
k=7	7.55e −7	7.39e−11	8.97e−6	2.32e −10
k=8	1.89e −7	4.59e−12	3.17e−6	1.44e −11

x			k=2, M=4	k=3, M=5	k=5, M=6

0	0.693147180559945		0.693147180559945	0.693147180559945	0.693147180559945
0.1	0.683196849706777		0.683227245796262	0.683197075022063	0.683196849437443
0.2	0.653926467406664		0.653969148173502	0.653926783980363	0.653926466991036
0.3	0.606969484318893		0.607019006611345	0.606969843582379	0.606969483813016
0.4	0.544727175441672		0.544780344557389	0.544727529512898	0.544727174911210
0.5	0.470003629245736		0.470056791556372	0.470003963513028	0.470003628756537
0.6	0.385662480811985		0.385704191793314	0.385662747357822	0.385662480415734
0.7	0.294371060602578		0.294402255148925	0.294371256591398	0.294371060311363
0.8	0.198450938723838		0.198471255975016	0.198451064512775	0.198450938537864
0.9	0.099820335282211		0.099829667365162	0.099820397248811	0.099820335194224
1.0		0	0	0	0

Périodicité:: Volume Open
Sujets de la revue:: Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics