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

Table 1

Some well-known functions that generate RBFs.

Name of radial basis function	Definition
Multiquadric (MQ)	𝜑(𝑟)=√𝑐^2+𝑟^2
Inverse quadratic (IQ)	1𝜑(𝑟)=(𝑐^2+𝑟^2)
Inverse multiquadric (IMQ)	1𝜑(𝑟)=√𝑐^2+𝑟^2
Gaussian (GA)	𝜑(𝑟)=exp(−𝑐^2𝑟^2)
Thin plate splines (TPS)	𝜑(𝑟)=𝑟^2log(𝑟)