A Meshfree Quasi-Interpolation Method for Solving Burgers’ Equation

Table 1

The values of 𝑁^(𝑘)_𝑖,4(𝑥) at the knots.

	𝑥𝑖−1	𝑥𝑖	𝑥𝑖+1	𝑥𝑖+2	Otherwise
𝑁𝑖,4(𝑥)	124	1124	1124	124	0
𝑁^′𝑖,4(𝑥)	16ℎ	36ℎ	−36ℎ	−16ℎ	0
𝑁^′′𝑖,4(𝑥)	12ℎ^2	−12ℎ^2	−12ℎ^2	−12ℎ^2	0
𝑁^′′′𝑖,4(𝑥)	1ℎ^3	−3ℎ^3	3ℎ^3	−1ℎ^3	0