{"id":24901389,"url":"https://github.com/severindenisenko/ode-solver","last_synced_at":"2025-10-16T13:30:24.027Z","repository":{"id":132026668,"uuid":"568191484","full_name":"SeverinDenisenko/ODE-Solver","owner":"SeverinDenisenko","description":"Solver for ordinary differential equations","archived":false,"fork":false,"pushed_at":"2022-12-02T13:09:50.000Z","size":4302,"stargazers_count":0,"open_issues_count":0,"forks_count":1,"subscribers_count":1,"default_branch":"master","last_synced_at":"2023-11-23T23:58:23.742Z","etag":null,"topics":["numerical-methods","ode-solver"],"latest_commit_sha":null,"homepage":"","language":"C++","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/SeverinDenisenko.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null}},"created_at":"2022-11-19T18:30:13.000Z","updated_at":"2023-11-04T00:09:37.000Z","dependencies_parsed_at":null,"dependency_job_id":"276bbfec-4a2e-4329-94e4-78e0ca56d4b6","html_url":"https://github.com/SeverinDenisenko/ODE-Solver","commit_stats":null,"previous_names":["severindenisenko/ode-solver","severin-denisenko/ode-solver"],"tags_count":null,"template":null,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/SeverinDenisenko%2FODE-Solver","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/SeverinDenisenko%2FODE-Solver/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/SeverinDenisenko%2FODE-Solver/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/SeverinDenisenko%2FODE-Solver/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/SeverinDenisenko","download_url":"https://codeload.github.com/SeverinDenisenko/ODE-Solver/tar.gz/refs/heads/master","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":236719472,"owners_count":19194048,"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":["numerical-methods","ode-solver"],"created_at":"2025-02-01T21:16:02.339Z","updated_at":"2025-10-16T13:30:23.326Z","avatar_url":"https://github.com/SeverinDenisenko.png","language":"C++","funding_links":[],"categories":[],"sub_categories":[],"readme":"# ODE Solver\n\n# Features\n\nCan solve systems of ordinary differential equation by using methods:\n\n* Runge-Kutta fourth order method\n* Adams extrapolation n-th order\n* Adams interpolation n-th order\n* Rosenbrock method for autonomous systems\n* Predictor-Corrector method using Adams extrapolation and interpolation methods\n\n# How to use\n\nCreate ODE using `std::function` and create context:\n\n```c++\nstd::function\u003cstd::vector\u003cdouble\u003e(double t, std::vector\u003cdouble\u003e x)\u003e f = \n        [](double t, std::vector\u003cdouble\u003e x) -\u003e std::vector\u003cdouble\u003e{\n    std::vector\u003cdouble\u003e res(x.size());\n\n    /*\n     * Your system. For example:\n     */\n    \n    res[0] = 10.0 * (x[1] - x[0]);\n    res[1] = x[0] * (28.0 - x[2]) - x[1];\n    res[2] = x[0] * x[1] - 8.0 * x[2] / 3.0;\n\n    return res;\n};\n\n\n\nContext context = Context(f)\n```\n\nThen set the initial values, start and begin of integration and other parameters.\n\n```c++\ncontext.x_0 = {10, 10, 10};\ncontext.t_begin = 0.0;\ncontext.t_end = 100.0;\ncontext.h = 5e-5; // Integration step\ncontext.adams_order = 10; // Order of Adams methods\n```\n\nThen you can create instance of `ODESolver`:\n\n```c++\nODESolver odeSolver = ODESolver(context);\n```\n\nRun integration by one of the methods: `odeSolver.rk()`, `odeSolver.ae()`, `odeSolver.ai()`. Then retrieve results from `odeSolver.Results`:\n\n```c++\nodeSolver.ae();\n\nstd::ofstream ae(\"ae.dat\");\n\nfor (auto \u0026step: odeSolver.Result)\n{\n    auto [ t, x ] = step;\n\n    ae \u003c\u003c std::fixed \u003c\u003c std::setprecision(10) \u003c\u003c t \u003c\u003c \" \";\n\n    for (auto \u0026item: x)\n    {\n        ae \u003c\u003c item \u003c\u003c \" \";\n    }\n\n    ae \u003c\u003c std::endl;\n}\n\nae.close();\n```\n\n`odeSolver.Result` has type of `std::vector\u003cstd::tuple\u003cdouble, std::vector\u003cdouble\u003e\u003e\u003e`.\n\n# How to compile and run test\n\nUse Makefile by running:\n\n```shell\nmake run\n```\n\nResults will be stored in `ae.dat`, `ai.dat`, `rk.dat`, `precor.dat`, `rosen.dat`. Plot them using:\n\n```shell\ngnuplot plot.plt\n```\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fseverindenisenko%2Fode-solver","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fseverindenisenko%2Fode-solver","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fseverindenisenko%2Fode-solver/lists"}