Not very pretty but here is another way:
String runFct =
queryType.equals("eq") ? "method1":
queryType.equals("L_L")? "method2":
queryType.equals("L_R")? "method3":
queryType.equals("L_LR")? "method4":
"method5";
Method m = this.getClass().getMethod(runFct);
m.invoke(this);