{"id":16027034,"url":"https://github.com/ashwinvis/kdv-compact","last_synced_at":"2026-03-18T17:48:27.468Z","repository":{"id":95790121,"uuid":"123251245","full_name":"ashwinvis/kdv-compact","owner":"ashwinvis","description":"Solving KdV equation with finite difference optimized compact scheme for first- and third-derivatives","archived":false,"fork":false,"pushed_at":"2021-01-18T15:40:32.000Z","size":1192,"stargazers_count":2,"open_issues_count":0,"forks_count":0,"subscribers_count":0,"default_branch":"master","last_synced_at":"2025-11-08T11:12:34.765Z","etag":null,"topics":["compact-scheme","finite-difference","kdv","o3cs","oucs3","solitons"],"latest_commit_sha":null,"homepage":"https://link.springer.com/article/10.1007%2Fs10915-014-9875-4","language":"PostScript","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"bsd-3-clause","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/ashwinvis.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,"zenodo":null}},"created_at":"2018-02-28T08:08:26.000Z","updated_at":"2024-09-30T08:38:18.000Z","dependencies_parsed_at":"2023-04-26T20:02:19.415Z","dependency_job_id":null,"html_url":"https://github.com/ashwinvis/kdv-compact","commit_stats":null,"previous_names":[],"tags_count":1,"template":false,"template_full_name":null,"purl":"pkg:github/ashwinvis/kdv-compact","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ashwinvis%2Fkdv-compact","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ashwinvis%2Fkdv-compact/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ashwinvis%2Fkdv-compact/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ashwinvis%2Fkdv-compact/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/ashwinvis","download_url":"https://codeload.github.com/ashwinvis/kdv-compact/tar.gz/refs/heads/master","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ashwinvis%2Fkdv-compact/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":29452595,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-02-14T15:52:44.973Z","status":"ssl_error","status_checked_at":"2026-02-14T15:52:11.208Z","response_time":53,"last_error":"SSL_connect returned=1 errno=0 peeraddr=140.82.121.6:443 state=error: unexpected eof while reading","robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":false,"can_crawl_api":true,"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":["compact-scheme","finite-difference","kdv","o3cs","oucs3","solitons"],"created_at":"2024-10-08T20:04:43.075Z","updated_at":"2026-02-14T19:03:24.500Z","avatar_url":"https://github.com/ashwinvis.png","language":"PostScript","funding_links":[],"categories":[],"sub_categories":[],"readme":"# kdv-compact\n\n[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.1203231.svg)](https://doi.org/10.5281/zenodo.1203231)\n\nSolving KdV equation with finite difference optimized compact scheme for first- and third-derivatives\n\nAll codes are archived and made open sourceunder the BSD license and the LaTeX\nsource under the CC-BY-SA 4.0 license.\n\nIf you find it useful you can cite the original article:\n\n```bibtex\n@Article{Ashwin2015,\nauthor=\"Ashwin, V. M.\nand Saurabh, K.\nand Sriramkrishnan, M.\nand Bagade, P. M.\nand Parvathi, M. K.\nand Sengupta, Tapan K.\",\ntitle=\"KdV Equation and Computations of Solitons: Nonlinear Error Dynamics\",\njournal=\"Journal of Scientific Computing\",\nyear=\"2015\",\nmonth=\"Mar\",\nday=\"01\",\nvolume=\"62\",\nnumber=\"3\",\npages=\"693--717\",\nabstract=\"Here we have developed new compact and hybrid schemes for the\nsolution of KdV equation. These schemes for the third derivative have been\nanalyzed in the spectral plane for their resolution and compared with another\nscheme in the literature. Furthermore the developed schemes have been used to\nsolve a model linear dispersion equation. The error dynamics equation has been\ndeveloped for this model equation. Despite the linearity of the model equation,\none can draw conclusions for error dynamics of nonlinear differential\nequations. The developed compact scheme has been found to be quite accurate in\nsolving KdV equation. One- and two-soliton cases have been reported to\ndemonstrate the above.\",\nissn=\"1573-7691\",\ndoi=\"10.1007/s10915-014-9875-4\",\nurl=\"https://doi.org/10.1007/s10915-014-9875-4\"\n}\n```\n\nThe published version can be found\n**[here](https://doi.org/10.1007/s10915-014-9875-4).**\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fashwinvis%2Fkdv-compact","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fashwinvis%2Fkdv-compact","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fashwinvis%2Fkdv-compact/lists"}