A Meshless Method for the Numerical Solution of a Two-Dimension IHCP

Table 9

Error and RMS errors for 𝑈(𝑥,𝑦,𝑡) on the intervals 𝑥∈[0.1,1], 𝑦∈[0,1], and 𝑡∈[0,1] for Example  2.

Method	Error	𝑁=𝑀=𝑆=3	𝑁=6,𝑀=4,𝑆=5	𝑁=𝑀=𝑆=5	𝑁=5,𝑀=6,𝑆=5
GA-RBFs	RMS(𝑈)	5.167𝐸−4	5.678𝐸−5	7.900𝐸−6	5.923𝐸−6
(𝑐=0.1)	Error (𝑈)	7.048𝐸−4	8.081𝐸−5	1.125𝐸−5	8.444𝐸−6
IMQ-RBFs	RMS(𝑈)	9.580𝐸−5	5.974𝐸−5	5.022𝐸−6	4.144𝐸−6
(𝑐=50)	Error (𝑈)	1.306𝐸−4	8.502𝐸−5	7.154𝐸−6	5.909𝐸−6
MQ-RBFs	RMS(𝑈)	4.735𝐸−5	4.129𝐸−5	1.013𝐸−5	2.279𝐸−6
(𝑐=50)	Error (𝑈)	6.458𝐸−5	7.015𝐸−5	1.444𝐸−5	3.250𝐸−6
IQ-RBFs	RMS(𝑈)	1.291𝐸−4	5.921𝐸−5	3.043𝐸−6	2.677𝐸−6
(𝑐=50)	Error (𝑈)	1.761𝐸−4	8.427𝐸−5	4.335𝐸−6	4.243𝐸−6