Numerical Solution and Simulation of Second-Order Parabolic PDEs with Sinc-Galerkin Method Using Maple

Table 2

Numerical results.

	𝑡	Exact solution	Sinc-Galerkin solution	Error
𝑁=16, 𝑥=0.6	0.1	0.35446621870000	0.59102026517764600	0.23655404647764600
	0.11	0.00001833412226	−0.08327827240548060	0.08329660652774060
	0.21	0.9482992112×10^−9	−0.03068110846399060	0.03068110941228980
	0.31	0.4904905672×10^−13	−0.01083286679129120	0.01083286679134030
	0.41	0.2536973471×10^−17	−0.000420168677914081	0.000420168677914083
	0.51	0.1312203514×10^−21	−0.00108069489771883	0.00108069489771883
	0.61	0.6787134677×10^−26	−0.00492511086695295	0.00492511086695295
	0.71	0.3510522275×10^−30	0.00331706758955819	0.00331706758955819
	0.81	0.1815753976×10^34	−0.00303031084399243	0.00303031084399243
	0.91	0.9391658013×10^−39	0.00342519240062265	0.00342519240062265