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Ahmad Molabahrami

Academic rank: Associate Professor
ORCID:
Education: PhD.
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HIndex:
Faculty: Basic Science
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Research

Title
A series solution of the nonlinear Volterra and ‎Fredholm integro-differential equations
Type
JournalPaper
Keywords
Homotopy analysis method; Series solution; Integro-differential equation; Volterra; Fredholm
Year
2009
Journal Communications in ‎Nonlinear Science ‎and Numerical ‎Simulation
DOI
Researchers Abdollah Shidfar ، Ahmad Molabahrami ، Afshin Babaei ، Ahmad Reza Yazdanian

Abstract

In this paper, the HAM is applied to obtained the series solution of the high-order nonlinear Volterra and Fredholm integro-differential problems with power-law nonlinearity. Two cases are considered, in the first case the set of base functions is introduced to represent solution of given nonlinear problem and in the other case, the set of base functions is not introduced. However, in both cases, the convergence-parameter provides us with a simple way to adjust and control the convergence region of solution series.