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Book Categories |
Preface | ||
Foreword | ||
Ch. 1 | On Modelling Physical Phenomena | 1 |
Ch. 2 | The Decomposition Method for Ordinary Differential Equations | 6 |
Ch. 3 | The Decomposition Method in Several Dimensions | 22 |
Ch. 4 | Double Decomposition | 69 |
Ch. 5 | Modified Decomposition | 115 |
Ch. 6 | Applications of Modified Decomposition | 154 |
Ch. 7 | Decomposition Solutions for Neumann Boundary Conditions | 190 |
Ch. 8 | Integral Boundary Conditions | 196 |
Ch. 9 | Boundary Conditions at Infinity | 211 |
Ch. 10 | Integral Equations | 224 |
Ch. 11 | Nonlinear Oscillations in Physical Systems | 228 |
Ch. 12 | Solution of the Duffing Equation | 236 |
Ch. 13 | Boundary-Value Problems With Closed Irregular Contours Or Surfaces | 288 |
Ch. 14 | Applications in Physics | 302 |
Appendix I. Pade and Shanks Transforms | 338 | |
Appendix II. On Staggered Summation of Double Decomposition Series | 348 | |
Appendix III. Cauchy Products of Infinite Series | 350 | |
Index | 352 |
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