The phrase "a different method and" is correct and usable in written English.
You can use it when discussing alternative approaches or techniques in a particular context, often leading to a comparison or further explanation.
Example: "In our research, we decided to explore a different method and analyze the results more thoroughly."
Alternatives: "an alternative approach and" or "another technique and".
It will face competition, however, from a startup called Witricity that uses a different method, and already has the backing of some major electronics companies.
The consortium's rival, Celera, is decoding the human genome by a different method and has said it will publish its sequence only when it is almost fully assembled, sometime later this summer.
For each of these four groups a minor change in the work procedure was installed by a different method, and the results were carefully recorded to see what, if any, problems of resistance occurred.
This low value is nearly identical to a previous report for nanocrystalline Cu, produced by a different method and tested in uniaxial tension, that had the same average grain size (30 nm) and a similar yield strength (760 MPa)8.
Using a different method and drawing on a broader group, cancer registries in six regions of this country, a team of scientists led by Dr. Janet L. Stanford of the Fred Hutchinson Cancer Research Center in Seattle studied nearly 1,300 men after surgery for prostate cancer.
This report describes an implementation of the method, makes comparisons with results obtained previously by a different method, and presents an example calculation using some recently measured membrane properties.
"I would have preferred a different method of personal and professional growth, but it is what it is," he said.
Each location would have a different method for recording and storing data.
Visual scene displays are a different method of organizing and presenting symbols.
After it was leaked to the press that Big Papi failed MLB's drug testing in 2003, Ortiz used a different method to try and protect his legacy.
Also, when DNA is isolated from a different starting amount or with a different method, the repeatability and reproducibility can be influenced.
