This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
Johansen, H. and Colella, P., A Cartesian grid embedded boundary method for Poisson’s equation on irregular domains. J. Comput. Phys., Vol. 147(2),60-85 (1998). 10.1006/jcph.1998.5965JohansenH.ColellaP.A Cartesian grid embedded boundary method for Poisson’s equation on irregular domainsJ. Comput. Phys., Vol.14726085199810.1006/jcph.1998.5965Open DOISearch in Google Scholar
Jomma, Z. and Macaskill, C., The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditions. J. Comput. Phys. 202, 488-506 (2005). 10.1016/j.jcp.2004.07.011JohansenZ.MacaskillC.The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditionsJ. Comput. Phys.202488506200510.1016/j.jcp.2004.07.011Open DOISearch in Google Scholar
Gibou, F., Fedkiw, R. P., Cheng, L. T. and Kang, M., A second-order-accurate symmetric discretization of the Poisson equation on irregular domains. Journal of Computational Physics, 176(1), 205-227 (2002). 10.1006/jcph.2001.6977GibouF.FedkiwR. P.ChengL. T.KangM.A second-order-accurate symmetric discretization of the Poisson equation on irregular domainsJournal of Computational Physics1761205227200210.1006/jcph.2001.6977Open DOISearch in Google Scholar
Ng, Y. T., Chen, H., Min, C. and Gibou, F., Guidelines for poisson solvers on irregular domains with Dirichlet boundary conditions using the ghost fluid method. J. Sci. Comput. 41, 300-320 (2009). 10.1007/s10915-009-9299-8NgY. T.ChenH.MinC.GibouF.Guidelines for poisson solvers on irregular domains with Dirichlet boundary conditions using the ghost fluid methodJ. Sci. Comput.41300320200910.1007/s10915-009-9299-8Open DOISearch in Google Scholar
Al-Said, E. A., Numerical solutions for system of third-order boundary value problems. International Journal of Computer Mathematics, Vol. 78, no. 1, 111-121 (2001). 10.1080/00207160108805100Al-SaidE. A.Numerical solutions for system of third-order boundary value problemsInternational Journal of Computer MathematicsVol. 781111121200110.1080/00207160108805100Open DOISearch in Google Scholar
Pandey, P. K., The Numerical Solution of Third Order Differential Equation Containing the First Derivative. Neural Parallel & Scientific Comp. 13, 297-304 (2005).PandeyP. K.The Numerical Solution of Third Order Differential Equation Containing the First DerivativeNeural Parallel & Scientific Comp.132973042005Search in Google Scholar
Pandey, P. K., Solving system of second order boundary value problems by Numerov type method. Journal of Science and Arts 15, No. 2(31), 143-150 (2015).PandeyP. K.Solving system of second order boundary value problems by Numerov type methodJournal of Science and Arts, 152311431502015Search in Google Scholar
Jain, M.K., Iyenger, S. R. K. and Jain, R. K., Numerical Methods for Scientific and Engineering Computation (2/e). Willey Eastern Limited, New Delhi, 1987.JainM.K.IyengerS.KR.JainR. K.Numerical Methods for Scientific and Engineering Computation (2/e).Willey Eastern LimitedNew Delhi1987Search in Google Scholar
Krylov N. V., On the rate of convergence of finite difference approximations for Bellman’s equations with variable coefficients. Probab. Theory Related Fields, 117(1):1-16 (2000). 10.1007/s004400050264KrylovN. V.On the rate of convergence of finite difference approximations for Bellman’s equations with variable coefficientsProbab. Theory Related Fields1171116200010.1007/s004400050264Open DOISearch in Google Scholar
Varga R. S., Matrix Iterative Analysis, Second Revised and Expanded Edition, Springer-Verlag, Heidelberg, (2000). 10.1007/978-3-642-05156-2VargaR. S.Matrix Iterative AnalysisSecond Revised and Expanded EditionSpringer-VerlagHeidelberg200010.1007/978-3-642-05156-2Open DOISearch in Google Scholar
Henrici, P., Discrete Variable Methods in Ordinary Differential Equations, John Wiley and Sons, New York, (1962).HenriciP.Discrete Variable Methods in Ordinary Differential EquationsJohn Wiley and SonsNew York1962Search in Google Scholar
Avetik, A., Rafayel B. and Michael, P., Numerical Solution of the Two-Phase Obstacle Problem by Finite Difference Method. Armenian Journal of Mathematics, Vol. 7, Number 2, 164-182 (2015).AvetikA.RafayelB.MichaelP.Numerical Solution of the Two-Phase Obstacle Problem by Finite Difference MethodArmenian Journal of Mathematics721641822015Search in Google Scholar
