I do not know of any procedure for analyzing boron, but for silica I have tried a simple procedure from chemetrics.com: https://www.chemetrics.com/product-category/test-kits/
The extensive use of membranes and resins for the manufacture of ultra-pure water or osmosis raises the question of monitoring their ageing. A good universal marker of this problem may be the dosage of silica in downstream of the treatment.
A - Carrying out the molybdate-silica reaction
In an acid medium, silica reacts with ammonium molybdate to give a silico-molybdic complex with a yellow colour. The colour intensity, proportional to the silica concentration is compared to a calibration curve. It is necessary to scrupulously follow the operating mode and in particular, to handle within the prescribed temperature range (20 to 35°C) and to check the conformity of the pH for strongly buffered water.
1) Take a sample of water using a 60 ml syringe and bring the sample to a temperature between 25 and 35°C.
2) Take a 25 ml volumetric flask then add 3 ml of the “silica” reagent (acid solution of ammonium molybdate) using a 10 ml syringe or a 5 ml pipette. Then complete the volume of the flask with the sample up to the volumetric mark of 25 ml.
NB: for a final volume of 50 ml, 6 ml of “silica” reagent will be used.
3) Shake to homogenize the solution by inverting the stoppered volumetric flask 3 times and letting the mixture stand for 10 minutes.
4) Then take around 10 or 20 ml of the solution obtained and introduce it into the first tank corresponding to the chosen measuring device (measuring tank). For the treatment of a larger volume, one can use a 50 ml volumetric flask by adding 6 ml of reagent.
B) With Photometer or spectrophotometer
1) Take a 10, 18, 24 or 25 mm cell (depending on the measuring device) and rinse it 3 times with the water to be analyzed.
2) Make the blank according to the instructions in the manual of the measuring device with this cell then empty it.
3) Then take around 10 or 20 ml of the solution obtained in A using a syringe and introduce it into the first tank of 2).
4) Insert the cell into the compartment of the Spectrophotometer and follow the instructions in the manual of the measuring device.
Chemetrics has ready-made reagents, just break an ampoule and measure the result photometrically. The price per analysis can be high, but if one does not have to do many analyzes, it can be defended. This type of reagent has a limited shelf life.