Analytic Method for Solving Heat and Heat-Like Equations with Classical and Non Local Boundary Conditions

  • Ahmed Cheniguel


In this paper, heat and heat-like equations with classical and non local boundary conditions are presented and a homotopy perturbation method (HPM) is utilized for solving the problems. The obtained results as compared with previous works are highly accurate. Also HPM provides continuous solutions in contrast to traditional methods, like finite difference method, which only provides discrete approximations. It is found that this method is a powerful mathematical tool and can be applied to a large class of linear and non linear problems in different fields of science and technology.


Diffusion equation Exact solution Heat-like equation Homotopy perturbation method Initial boundary value problems Non local boundary conditions Partial differential equations 


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© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.Department of Mathematics and Computer Science, Faculty of SciencesKasdi Merbah University OuarglaOuarglaAlgeria

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