X
Search Filters
Format Format
Format Format
X
Sort by Item Count (A-Z)
Filter by Count
Journal Article (1079) 1079
Publication (125) 125
Book / eBook (10) 10
Conference Proceeding (8) 8
Book Chapter (6) 6
Book Review (1) 1
Paper (1) 1
more...
Subjects Subjects
Subjects Subjects
X
Sort by Item Count (A-Z)
Filter by Count
mathematics, applied (584) 584
mathematics (440) 440
mathematical analysis (379) 379
analysis (254) 254
differential equations (222) 222
mathematical models (220) 220
diffusion (218) 218
derivatives (204) 204
stability (181) 181
convergence (172) 172
mechanics (161) 161
fractional calculus (159) 159
mathematics, interdisciplinary applications (157) 157
algorithms (153) 153
partial differential equations (151) 151
approximation (127) 127
mathematics, general (119) 119
calculus (117) 117
numerical analysis (105) 105
engineering, mechanical (94) 94
functional analysis (94) 94
anomalous diffusion (92) 92
numerical-solution (92) 92
computational mathematics and numerical analysis (91) 91
finite difference method (91) 91
ordinary differential equations (91) 91
operators (89) 89
differential-equations (88) 88
26a33 (85) 85
caputo fractional derivative (84) 84
applications of mathematics (83) 83
engineering (82) 82
wave equations (80) 80
scheme (77) 77
diffusion-wave equation (76) 76
difference and functional equations (74) 74
mittag-leffler function (74) 74
methods (73) 73
order (73) 73
35r11 (72) 72
computer simulation (68) 68
finite element method (68) 68
fractional derivative (66) 66
approximations (64) 64
dynamics (64) 64
models (62) 62
computer science (61) 61
mechanical engineering (60) 60
polynomials (60) 60
model (59) 59
theory of computation (59) 59
caputo derivative (57) 57
operational matrix (57) 57
equations (56) 56
partial-differential-equations (56) 56
systems (55) 55
physics, mathematical (54) 54
boundary value problems (53) 53
equation (53) 53
theoretical, mathematical and computational physics (53) 53
exact solutions (52) 52
vibration, dynamical systems, control (52) 52
algebra (51) 51
physics (51) 51
error analysis (50) 50
applied mathematics (48) 48
boundary conditions (48) 48
diffusion equation (47) 47
fractional diffusion (47) 47
galerkin method (47) 47
stability analysis (47) 47
fractional diffusion equation (46) 46
physics, multidisciplinary (46) 46
automotive engineering (45) 45
fractional diffusion-wave equation (43) 43
nonlinear equations (43) 43
uniqueness (43) 43
transport (42) 42
nonlinearity (41) 41
numerical methods (41) 41
research (41) 41
space (41) 41
34a08 (40) 40
65m12 (40) 40
difference scheme (40) 40
iterative methods (40) 40
engineering, multidisciplinary (39) 39
laplace transforms (39) 39
65m06 (38) 38
appl.mathematics/computational methods of engineering (38) 38
collocation method (38) 38
integrals (38) 38
usage (38) 38
algebra and number theory (37) 37
fractional differential equations (37) 37
laplace transform (37) 37
existence (36) 36
computer science, interdisciplinary applications (35) 35
fractional differential equation (35) 35
primary 26a33 (35) 35
more...
Library Location Library Location
Language Language
Publication Date Publication Date
Click on a bar to filter by decade
Slide to change publication date range


Applied Mathematics Letters, ISSN 0893-9659, 11/2017, Volume 73, pp. 120 - 127
The main aim of the current paper is to develop a high-order numerical scheme to solve the space–time tempered fractional diffusion-wave equation. The... 
Unconditional stability | Space–time tempered fractional diffusion-wave equation | Integro-differential equation | Finite difference method | Convergence | SCHEME | MATHEMATICS, APPLIED | APPROXIMATION | Space time tempered fractional | DIFFERENTIAL-EQUATIONS | diffusion-wave equation | Methods | Differential equations
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 06/2017, Volume 73, Issue 12, pp. 2561 - 2572
In this paper, a multi-dimensional α-fractional diffusion–wave equation is introduced and the properties of its fundamental solution are studied. This equation... 
Anomalous wave propagation | Mellin–Barnes integral | Entropy production rate | Fractional diffusion–wave equation | Phase velocity | Anomalous diffusion | MATHEMATICS, APPLIED | MODELS | Mellin-Barnes integral | Fractional diffusion-wave equation | ENTROPY
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 09/2018, Volume 339, pp. 179 - 192
This paper is concerned with the fractional evolution equation with a discrete distribution of Caputo time-derivatives such that the largest and the smallest... 
Propagation function | Cosine family | Bernstein function | Time-fractional diffusion–wave equation | Solution operator | Mathematics - Analysis of PDEs
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 06/2017, Volume 68, pp. 87 - 93
This paper focuses on providing the high order algorithms for the space–time tempered fractional diffusion-wave equation. The designed schemes are... 
Space–time tempered fractional diffusion-wave equation | Integro-differential equation | Numerical stability and convergence | MATHEMATICS, APPLIED | diffusion-wave equation | Space-time tempered fractional | Analysis | Methods | Algorithms
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 01/2019, Volume 135, pp. 30 - 46
Journal Article
by Ye, H and Liu, F and Anh, V
Journal of Computational Physics, ISSN 0021-9991, 10/2015, Volume 298, pp. 652 - 660
In this paper, we derive and analyse a compact difference scheme for a distributed-order time-fractional diffusion-wave equation. This equation is approximated... 
Compact difference scheme | Stability | Distributed-order fractional derivative | Diffusion-wave equation | Convergence | NUMERICAL-METHODS | VARIABLE-ORDER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MATHEMATICAL
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 11/2017, Volume 74, Issue 10, pp. 2449 - 2465
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 07/2015, Volume 293, pp. 142 - 156
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2016, Volume 38, Issue 1, pp. A146 - A170
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 01/2019, Volume 52, Issue 1, p. 15201
We study generalized diffusion-wave equation in which the second order time derivative is replaced by an integro-differential operator. It yields time... 
Mittag-Leffler function | diffusion-wave equation | anomalous diffusion | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | SINGLE MOLECULES | PRABHAKAR | TRANSPORT | MODELS | RANDOM-WALKS | DYNAMICS | FRACTIONAL DIFFUSION | FUNDAMENTAL SOLUTION | Physics - Statistical Mechanics
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 61, Issue 8, pp. 2227 - 2231
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, ISSN 1364-5021, 06/2009, Volume 465, Issue 2106, pp. 1869 - 1891
Journal Article
Physics Letters A, ISSN 0375-9601, 01/2015, Volume 379, Issue 3, pp. 71 - 76
In this paper, an efficient and accurate computational method based on the Legendre wavelets (LWs) is proposed for solving the time fractional diffusion-wave... 
Riemann–Liouville integral | Hat functions (HFs) | Fractional operational matrix (FOM) | Legendre wavelets (LWs) | Caputo derivative | Fractional diffusion-wave equation (FDWE) | Caputo derivative Riemann-Liouville integral | 2-DIMENSIONAL LEGENDRE WAVELETS | PHYSICS, MULTIDISC