Single voltage power supply to +/- rails
That won't work. You have a short-circuit across C1 and R1 so your circuit will give you 0 / 0 / -20 V instead of 10 / 0 / -10 V.



Figure 1. Remove the link 'X'.

The next problem is that the ground is very weakly defined as the 47 kΩ resistors won't have a very good "pull" against any current demands in the circuit.







simulate this circuit &ndash; Schematic created using CircuitLab

Figure 2. A Zener regulated supply.

A Zener regulated supply would be better.

Suggested reading: Virtual GND resistor dividor vs zener diode.