GEORGE ADOMIAN PDF

This section is devoted to a fascinating method for solving linear and nonlinear ordinary and partial differential equations invented by George Adomian This method will be used in some other sections, so here we just give it a friendly introduction. Let me introduce some scientists in alphabetic order who contributed to and greatly improved the Adomian Decomposition Method to make it available to the mathematical and engineering community. The Adomian decomposition method ADM for short has led to several modifications on the method made by various researchers in an attempt to improve the accuracy or expand the application of the original approach. Obviously, this tutorial cannot cover and explain all available improvements for the method.

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Skip to main content Skip to table of contents. Advertisement Hide. This service is more advanced with JavaScript available. Front Matter Pages i-xiii.

On Modelling Physical Phenomena. Pages The Decomposition Method in Several Dimensions. Double Decomposition. Modified Decomposition. Applications of Modified Decomposition. Decomposition Solutions for Neumann Boundary Conditions. Integral Boundary Conditions.

Boundary Conditions at Infinity. Integral Equations. Nonlinear Oscillations in Physical Systems. Solution of the Duffing Equation. Applications in Physics. Back Matter Pages About this book Introduction The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without the need to resort to linearization or perturbation approaches.

It unifies the treatment of linear and nonlinear, ordinary or partial differential equations, or systems of such equations, into a single basic method, which is applicable to both initial and boundary-value problems. This volume deals with the application of this method to many problems of physics, including some frontier problems which have previously required much more computationally-intensive approaches.

The opening chapters deal with various fundamental aspects of the decomposition method. Subsequent chapters deal with the application of the method to nonlinear oscillatory systems in physics, the Duffing equation, boundary-value problems with closed irregular contours or surfaces, and other frontier areas.

The potential application of this method to a wide range of problems in diverse disciplines such as biology, hydrology, semiconductor physics, wave propagation, etc. For researchers and graduate students of physics, applied mathematics and engineering, whose work involves mathematical modelling and the quantitative solution of systems of equations. Mathematica Potential applied mathematics differential equation mathematics modeling ordinary differential equation oscillation partial differential equation physics semiconductor wave.

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Solving Frontier Problems of Physics: The Decomposition Method

Skip to main content Skip to table of contents. Advertisement Hide. This service is more advanced with JavaScript available. Front Matter Pages i-xiii.

ASTM B153 PDF

Adomian Decomposition Method for a Class of Nonlinear Problems

It seems that you're in Germany. We have a dedicated site for Germany. The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without the need to resort to linearization or perturbation approaches. It unifies the treatment of linear and nonlinear, ordinary or partial differential equations, or systems of such equations, into a single basic method, which is applicable to both initial and boundary-value problems. This volume deals with the application of this method to many problems of physics, including some frontier problems which have previously required much more computationally-intensive approaches. The opening chapters deal with various fundamental aspects of the decomposition method. Subsequent chapters deal with the application of the method to nonlinear oscillatory systems in physics, the Duffing equation, boundary-value problems with closed irregular contours or surfaces, and other frontier areas.

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George Adomian

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