{"id":22399983,"url":"https://github.com/krproject-tech/membrane_vibration_fdm","last_synced_at":"2025-06-20T12:13:08.543Z","repository":{"id":238283050,"uuid":"796245401","full_name":"KRproject-tech/Membrane_vibration_FDM","owner":"KRproject-tech","description":"Finite difference method to solve the membrane vibration problem","archived":false,"fork":false,"pushed_at":"2024-05-07T15:54:13.000Z","size":80,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-02-01T05:41:57.553Z","etag":null,"topics":["finite-difference-method","matlab","wave-equation"],"latest_commit_sha":null,"homepage":"","language":"MATLAB","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/KRproject-tech.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2024-05-05T11:36:58.000Z","updated_at":"2024-05-07T15:54:17.000Z","dependencies_parsed_at":"2024-05-05T12:32:18.571Z","dependency_job_id":"6dfde10f-80f8-4a69-9cbf-a7d0c46c2aec","html_url":"https://github.com/KRproject-tech/Membrane_vibration_FDM","commit_stats":null,"previous_names":["krproject-tech/membrane_vibration_fdm"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/KRproject-tech%2FMembrane_vibration_FDM","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/KRproject-tech%2FMembrane_vibration_FDM/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/KRproject-tech%2FMembrane_vibration_FDM/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/KRproject-tech%2FMembrane_vibration_FDM/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/KRproject-tech","download_url":"https://codeload.github.com/KRproject-tech/Membrane_vibration_FDM/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":245755683,"owners_count":20667027,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["finite-difference-method","matlab","wave-equation"],"created_at":"2024-12-05T08:10:49.477Z","updated_at":"2025-03-27T00:17:13.610Z","avatar_url":"https://github.com/KRproject-tech.png","language":"MATLAB","funding_links":[],"categories":[],"sub_categories":[],"readme":"\n![図1](https://github.com/KRproject-tech/Membrane_vibration_FDM/assets/114337358/32e49619-3b1f-4fd0-89d7-80b433c0129b)\n\n# Membrane_vibration_FDM\nFinite difference method (FDM) to solve the membrane vibration problem\n\n**Communication**\n\n\u003ca style=\"text-decoration: none\" href=\"https://twitter.com/hogelungfish_\" target=\"_blank\"\u003e\n    \u003cimg src=\"https://img.shields.io/badge/twitter-%40hogelungfish_-1da1f2.svg\" alt=\"Twitter\"\u003e\n\u003c/a\u003e\n\u003cp\u003e\n\n\n**Language**\n\u003cp\u003e\n\u003cimg src=\"https://cdn.jsdelivr.net/gh/devicons/devicon/icons/matlab/matlab-original.svg\" width=\"60\"/\u003e\n\u003cp\u003e\n\n\n## Directory    \n\u003cpre\u003e\n└─membrane_PDE\n    ├─save\n    │  └─fig\n    └─ToolBoxes\n\u003c/pre\u003e\n\n\n## Preparation before analysis\n__[Step 1] Install the ToolBoxes__\n\nThe following ToolBoxes in “./cores/ToolBoxes/” are required,\n\n__For plotting results:__\n\n*\t__“mmwrite”__ by Micah Richert:\n\nhttps://jp.mathworks.com/matlabcentral/fileexchange/15881-mmwrite\n\n## Governing equation\n\n$$\n\\begin{aligned}\n\\mathrm{PDE}\u0026: \\partial^2_t u(x,y,t) - t_x \\partial^2_x u(x,y,t) - t_y \\partial^2_y u(x,y,t) = 0, \\ (x,y) \\in [0, L_x] \\times [0, L_y], \\\\\n\\mathrm{BC} \u0026: u(x,y,t) = 0, \\ (x,y) \\in ([0, L_x] \\times \\\\{0, L_y \\\\}) \\cup (\\\\{0, L_x \\\\} \\times [0, L_y]), \\\\\n\\mathrm{IC} \u0026: u(x,y,0) = \\left( \\sin{\\pi \\frac{x}{L_x}}\\sin{\\pi \\frac{y}{L_y}} \\right)^3. \n\\end{aligned}\n$$\n\n\n## Demonstration movie\n\n[![](https://img.youtube.com/vi/_kEdkMvdkE4/0.jpg)](https://www.youtube.com/watch?v=_kEdkMvdkE4)\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fkrproject-tech%2Fmembrane_vibration_fdm","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fkrproject-tech%2Fmembrane_vibration_fdm","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fkrproject-tech%2Fmembrane_vibration_fdm/lists"}