Constructing and Predicting Solutions for Different Families of Partial Differential Equations: A Reliable Algorithm

Table 1

Comparison of exact and RPS solution at various in Test Problem 4.

t	r	Exact solution	RPS solution	Absolute error
0.0001	10	0.06	0.06
	15	0.03	0.03
	20	0.015	0.015
	25	0.01	0.01
	30	0.007	0.007
	35	0.005	0.005
	40	0.004	0.004
	45	0.003	0.003
	50	0.0024	0.0024
0.001	10	0.06	0.06
	15	0.03	0.03
	20	0.015	0.015
	25	0.015	0.01
	30	0.007	0.007
	35	0.005	0.005
	40	0.004	0.004
	45	0.003	0.003
	50	0.0024	0.0024
0.1	10	0.06	0.06
	15	0.03	0.03
	20	0.015	0.015
	25	0.01	0.01
	30	0.007	0.007
	35	0.005	0.005
	40	0.004	0.004
	45	0.003	0.003
	50	0.0024	0.0024