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Theory and Modern Applications

Table 1 The errors between the exact solution of the problem ( 19 ) and the numerical solutions computed by using the first order and the second order of accuracy difference schemes ( 20 ) and ( 21 ), respectively

From: FDM for the integral-differential equation of the hyperbolic type

 

N = M = 16

N = M = 32

N = M = 64

First order of accuracy difference scheme (20)

0.0765

0.0384

0.0192

Second order of accuracy difference scheme (21)

0.0016

0.0004

0.0001