There is no such thing as "
the tax method of accounting". I can only interpret your question as asking about an officially or commonly recognized term for the method you are using. I don't know if there is an official definition somewhere, but I would say you are preparing a modified cash method, or a tax accounting cash method, report.
§446(c) says,
"Subject to the provisions of subsections (a) and (b), a taxpayer may compute taxable income under any of the following methods of accounting-
(1) the cash receipts and disbursements method;
(2) an accrual method;
(3) any other method permitted by this chapter; or
(4) any combination of the foregoing methods permitted under regulations prescribed by the Secretary." Backing up, §446(a) says,
"Taxable income shall be computed under the method of accounting on the basis of which the taxpayer regularly computes his income in keeping his books."So if we look to book cash method, do we include depreciation? As far as I can tell, yes, but technically this would be considered a modified cash method. If you look, say, at Form 1065, it is clear that even under cash method, depreciation expense is considered part of book income, although there could be an adjustment on Schedule M-1 for book-tax depreciation differences.
Now I hope someone who has an advanced degree in accounting will come along with the definitive answer.