or design own methodology according to the domain, size of ontology, number of participants, the technical level of participants, deadline of the project, etc?
There cannot be a single answer because it would depend on the domain and what you want to do with the ontology. Each answer may lead to a different answer. There is no single method that would work best for all such problems (https://www.researchgate.net/publication/225969668_My_method_is_better).
There are many ways to do design an ontology and you can find many of them by simply googling “domain ontology methodology” or “domain ontology design methodology”.
You will have to study them and find what works best for your particular problem.
You must find a way to model your ontology by some modeling tools or incorporate the ontology in a particular tool to validate that it is indeed sufficiently expressive to address the issues you want. If you keep it on paper, like text or a diagram, it may be useless because such models do not impose constraints on modeling. If your ontology is modeled in a tool used to express situations in your domain, you will be able to test it.
A negative example of what I just wrote is available in my own work (https://www.researchgate.net/publication/245229098_Life-cycle_management_of_information_and_decisions_for_system_analyses). This model was not validated in real situations.
In contrast, another ontology building research I did with Avi Shaked was implemented in a system (https://www.researchgate.net/publication/245229098_Life-cycle_management_of_information_and_decisions_for_system_analyses, https://www.researchgate.net/publication/341257072_Improving_Process_Descriptions_in_Research_by_Model-Based_Analysis) that was then used in actual case studies that validated the ontology and led to very interesting results.
Dear Abdul Sattar even with predefined methodologies you may receive critiques related to the validity and reliability of your findings! So, I believe it would be hard and risky to adventure with designing your own methodology!