Applying Cubic B-Spline Quasi-Interpolation to Solve 1D Wave Equations in Polar Coordinates

Table 1

Error norms and invariants (ℎ=0.005,𝜏=0.0005).

Time	𝐿2 error	𝐿∞ error
0.5	2.6709𝑒−08	3.7758𝑒−08
1	2.5490𝑒−07	3.2418𝑒−07
1.5	5.4557𝑒−07	7.2273𝑒−07
2	5.2798𝑒−07	6.8914𝑒−07
2.5	2.0113𝑒−07	2.6778𝑒−07
3	1.3361𝑒−07	1.9905𝑒−07
3.5	1.8086𝑒−07	2.2871𝑒−07
4	1.5529𝑒−07	1.9822𝑒−07
4.5	2.7865𝑒−07	3.4738𝑒−07
5	4.9971𝑒−07	6.5922𝑒−07