Research Article

Exponential Time Integration and Second-Order Difference Scheme for a Generalized Black-Scholes Equation

Table 2

Numerical results for Test 2.

MNExponential methodImplicit Euler method
Error 𝑒 𝑁 , 𝑀 Rate 𝑟 𝑁 , 𝑀 Error 𝑒 𝑁 , 𝑀 Rate 𝑟 𝑁 , 𝑀

16 64 1 . 0 7 1 6 𝑒 1 1 . 7 4 2 8 𝑒 1
32 128 2 . 4 7 1 6 𝑒 2 2.116 8 . 9 5 0 4 𝑒 2 0.961
64 256 1 . 5 8 1 0 𝑒 2 0.645 4 . 7 7 8 0 𝑒 2 0.906